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class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Witryna"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Spis treści" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Spis treści</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">przypnij</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">ukryj</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Początek</div> </a> </li> <li id="toc-Zasady_gry" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zasady_gry"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Zasady gry</span> </div> </a> <button aria-controls="toc-Zasady_gry-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Przełącz podsekcję Zasady gry</span> </button> <ul id="toc-Zasady_gry-sublist" class="vector-toc-list"> <li id="toc-Punktacja_kart_w_blackjacku" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Punktacja_kart_w_blackjacku"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Punktacja kart w blackjacku</span> </div> </a> <ul id="toc-Punktacja_kart_w_blackjacku-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Strategia_podstawowa_w_blackjacku" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Strategia_podstawowa_w_blackjacku"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Strategia podstawowa w blackjacku</span> </div> </a> <button aria-controls="toc-Strategia_podstawowa_w_blackjacku-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Przełącz podsekcję Strategia podstawowa w blackjacku</span> </button> <ul id="toc-Strategia_podstawowa_w_blackjacku-sublist" class="vector-toc-list"> <li id="toc-Tabela_strategii_podstawowej" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Tabela_strategii_podstawowej"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Tabela strategii podstawowej</span> </div> </a> <ul id="toc-Tabela_strategii_podstawowej-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ubezpieczenie_(Insurance)_w_strategii_podstawowej" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Ubezpieczenie_(Insurance)_w_strategii_podstawowej"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Ubezpieczenie (<span>Insurance</span>) w strategii podstawowej</span> </div> </a> <ul id="toc-Ubezpieczenie_(Insurance)_w_strategii_podstawowej-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Blackjack_europejski" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Blackjack_europejski"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span><span>Blackjack</span> europejski</span> </div> </a> <ul id="toc-Blackjack_europejski-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Liczenie_kart_w_blackjacku" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Liczenie_kart_w_blackjacku"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Liczenie kart w blackjacku</span> </div> </a> <button aria-controls="toc-Liczenie_kart_w_blackjacku-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Przełącz podsekcję Liczenie kart w blackjacku</span> </button> <ul id="toc-Liczenie_kart_w_blackjacku-sublist" class="vector-toc-list"> <li id="toc-Historia_liczenia_kart_w_blackjacku" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Historia_liczenia_kart_w_blackjacku"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Historia liczenia kart w blackjacku</span> </div> </a> <ul id="toc-Historia_liczenia_kart_w_blackjacku-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Metoda_Hi-Lo" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Metoda_Hi-Lo"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Metoda <span>Hi-Lo</span></span> </div> </a> <ul id="toc-Metoda_Hi-Lo-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Przewaga_kasyna_w_zależności_od_wartości_prawdziwej" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Przewaga_kasyna_w_zależności_od_wartości_prawdziwej"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.3</span> <span>Przewaga kasyna w zależności od wartości prawdziwej</span> </div> </a> <ul id="toc-Przewaga_kasyna_w_zależności_od_wartości_prawdziwej-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zmiany_w_strategii_podstawowej_podczas_liczenia_kart" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Zmiany_w_strategii_podstawowej_podczas_liczenia_kart"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.4</span> <span>Zmiany w strategii podstawowej podczas liczenia kart</span> </div> </a> <ul id="toc-Zmiany_w_strategii_podstawowej_podczas_liczenia_kart-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Przykłady" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Przykłady"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.5</span> <span>Przykłady</span> </div> </a> <ul id="toc-Przykłady-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ubezpieczenie_(Insurance)_przy_liczeniu_kart" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Ubezpieczenie_(Insurance)_przy_liczeniu_kart"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.6</span> <span>Ubezpieczenie (<span>Insurance</span>) przy liczeniu kart</span> </div> </a> <ul id="toc-Ubezpieczenie_(Insurance)_przy_liczeniu_kart-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Budżetowanie" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Budżetowanie"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.7</span> <span>Budżetowanie</span> </div> </a> <ul id="toc-Budżetowanie-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Spis treści" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Przełącz stan spisu treści" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Przełącz stan spisu treści</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Blackjack</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Przejdź do artykułu w innym języku. Treść dostępna w 53 językach" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-53" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">53 języki</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A8%D9%84%D8%A7%D9%83_%D8%AC%D8%A7%D9%83" title="بلاك جاك – arabski" lang="ar" hreflang="ar" data-title="بلاك جاك" data-language-autonym="العربية" data-language-local-name="arabski" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Blackjack" title="Blackjack – asturyjski" lang="ast" hreflang="ast" data-title="Blackjack" data-language-autonym="Asturianu" data-language-local-name="asturyjski" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%91%D0%BB%D1%8D%D0%BA%D0%B4%D0%B6%D1%8D%D0%BA" title="Блэкджэк – białoruski" lang="be" hreflang="be" data-title="Блэкджэк" data-language-autonym="Беларуская" data-language-local-name="białoruski" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%91%D0%BB%D1%8D%D0%BA%D0%B4%D0%B6%D1%8D%D0%BA" title="Блэкджэк – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Блэкджэк" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%91%D0%BB%D0%B5%D0%BA%D0%B4%D0%B6%D0%B5%D0%BA" title="Блекджек – bułgarski" lang="bg" hreflang="bg" data-title="Блекджек" data-language-autonym="Български" data-language-local-name="bułgarski" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Blackjack" title="Blackjack – bawarski" lang="bar" hreflang="bar" data-title="Blackjack" data-language-autonym="Boarisch" data-language-local-name="bawarski" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Blackjack" title="Blackjack – bośniacki" lang="bs" hreflang="bs" data-title="Blackjack" data-language-autonym="Bosanski" data-language-local-name="bośniacki" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Blackjack" title="Blackjack – kataloński" lang="ca" hreflang="ca" data-title="Blackjack" data-language-autonym="Català" data-language-local-name="kataloński" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Blackjack" title="Blackjack – czeski" lang="cs" hreflang="cs" data-title="Blackjack" data-language-autonym="Čeština" data-language-local-name="czeski" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Blackjack" title="Blackjack – duński" lang="da" hreflang="da" data-title="Blackjack" data-language-autonym="Dansk" data-language-local-name="duński" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Black_Jack" title="Black Jack – niemiecki" lang="de" hreflang="de" data-title="Black Jack" data-language-autonym="Deutsch" data-language-local-name="niemiecki" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Blackjack" title="Blackjack – estoński" lang="et" hreflang="et" data-title="Blackjack" data-language-autonym="Eesti" data-language-local-name="estoński" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9C%CF%80%CE%BB%CE%B1%CE%BA_%CF%84%CE%B6%CE%B1%CE%BA" title="Μπλακ τζακ – grecki" lang="el" hreflang="el" data-title="Μπλακ τζακ" data-language-autonym="Ελληνικά" data-language-local-name="grecki" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Blackjack" title="Blackjack – angielski" lang="en" hreflang="en" data-title="Blackjack" data-language-autonym="English" data-language-local-name="angielski" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Blackjack" title="Blackjack – hiszpański" lang="es" hreflang="es" data-title="Blackjack" data-language-autonym="Español" data-language-local-name="hiszpański" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Blackjack" title="Blackjack – baskijski" lang="eu" hreflang="eu" data-title="Blackjack" data-language-autonym="Euskara" data-language-local-name="baskijski" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A8%D9%84%DA%A9%E2%80%8C%D8%AC%DA%A9" title="بلک‌جک – perski" lang="fa" hreflang="fa" data-title="بلک‌جک" data-language-autonym="فارسی" data-language-local-name="perski" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Blackjack_(jeu)" title="Blackjack (jeu) – francuski" lang="fr" hreflang="fr" data-title="Blackjack (jeu)" data-language-autonym="Français" data-language-local-name="francuski" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%B8%94%EB%9E%99%EC%9E%AD" title="블랙잭 – koreański" lang="ko" hreflang="ko" data-title="블랙잭" data-language-autonym="한국어" data-language-local-name="koreański" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B2%D5%AC%D5%A5%D6%84%D5%BB%D5%A5%D6%84" title="Բլեքջեք – ormiański" lang="hy" hreflang="hy" data-title="Բլեքջեք" data-language-autonym="Հայերեն" data-language-local-name="ormiański" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%AC%E0%A5%8D%E0%A4%B2%E0%A5%88%E0%A4%95%E0%A4%9C%E0%A5%88%E0%A4%95" title="ब्लैकजैक – hindi" lang="hi" hreflang="hi" data-title="ब्लैकजैक" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Blackjack" title="Blackjack – chorwacki" lang="hr" hreflang="hr" data-title="Blackjack" data-language-autonym="Hrvatski" data-language-local-name="chorwacki" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Blackjack" title="Blackjack – indonezyjski" lang="id" hreflang="id" data-title="Blackjack" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonezyjski" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Blackjack" title="Blackjack – włoski" lang="it" hreflang="it" data-title="Blackjack" data-language-autonym="Italiano" data-language-local-name="włoski" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%91%D7%9C%D7%90%D7%A7_%D7%92%27%D7%A7" title="בלאק ג'ק – hebrajski" lang="he" hreflang="he" data-title="בלאק ג'ק" data-language-autonym="עברית" data-language-local-name="hebrajski" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%AC%E0%B3%8D%E0%B2%B2%E0%B3%8D%E0%B2%AF%E0%B2%BE%E0%B2%95%E0%B3%8D%E2%80%8C%E0%B2%9C%E0%B2%BE%E0%B2%95%E0%B3%8D" title="ಬ್ಲ್ಯಾಕ್‌ಜಾಕ್ – kannada" lang="kn" hreflang="kn" data-title="ಬ್ಲ್ಯಾಕ್‌ಜಾಕ್" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Ac%C4%ABte" title="Acīte – łotewski" lang="lv" hreflang="lv" data-title="Acīte" data-language-autonym="Latviešu" data-language-local-name="łotewski" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Huszonegy" title="Huszonegy – węgierski" lang="hu" hreflang="hu" data-title="Huszonegy" data-language-autonym="Magyar" data-language-local-name="węgierski" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Blackjack" title="Blackjack – niderlandzki" lang="nl" hreflang="nl" data-title="Blackjack" data-language-autonym="Nederlands" data-language-local-name="niderlandzki" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%AC%E0%A5%8D%E0%A4%B2%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%95_%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%95" title="ब्ल्याक ज्याक – nepalski" lang="ne" hreflang="ne" data-title="ब्ल्याक ज्याक" data-language-autonym="नेपाली" data-language-local-name="nepalski" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%96%E3%83%A9%E3%83%83%E3%82%AF%E3%82%B8%E3%83%A3%E3%83%83%E3%82%AF" title="ブラックジャック – japoński" lang="ja" hreflang="ja" data-title="ブラックジャック" data-language-autonym="日本語" data-language-local-name="japoński" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Blackjack" title="Blackjack – norweski (bokmål)" lang="nb" hreflang="nb" data-title="Blackjack" data-language-autonym="Norsk bokmål" data-language-local-name="norweski (bokmål)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Blackjack" title="Blackjack – norweski (nynorsk)" lang="nn" hreflang="nn" data-title="Blackjack" data-language-autonym="Norsk nynorsk" data-language-local-name="norweski (nynorsk)" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-nrm mw-list-item"><a href="https://nrm.wikipedia.org/wiki/Blackjack" title="Blackjack – Norman" lang="nrf" hreflang="nrf" data-title="Blackjack" data-language-autonym="Nouormand" data-language-local-name="Norman" class="interlanguage-link-target"><span>Nouormand</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Blackjack" title="Blackjack – portugalski" lang="pt" hreflang="pt" data-title="Blackjack" data-language-autonym="Português" data-language-local-name="portugalski" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Blackjack" title="Blackjack – rumuński" lang="ro" hreflang="ro" data-title="Blackjack" data-language-autonym="Română" data-language-local-name="rumuński" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%91%D0%BB%D1%8D%D0%BA%D0%B4%D0%B6%D0%B5%D0%BA" title="Блэкджек – rosyjski" lang="ru" hreflang="ru" data-title="Блэкджек" data-language-autonym="Русский" data-language-local-name="rosyjski" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Black_jack" title="Black jack – sycylijski" lang="scn" hreflang="scn" data-title="Black jack" data-language-autonym="Sicilianu" data-language-local-name="sycylijski" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Blackjack" title="Blackjack – Simple English" lang="en-simple" hreflang="en-simple" data-title="Blackjack" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Blackjack" title="Blackjack – słowacki" lang="sk" hreflang="sk" data-title="Blackjack" data-language-autonym="Slovenčina" data-language-local-name="słowacki" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Blackjack" title="Blackjack – słoweński" lang="sl" hreflang="sl" data-title="Blackjack" data-language-autonym="Slovenščina" data-language-local-name="słoweński" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/Blekd%C5%BEek" title="Blekdžek – serbski" lang="sr" hreflang="sr" data-title="Blekdžek" data-language-autonym="Српски / srpski" data-language-local-name="serbski" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Blackjack" title="Blackjack – serbsko-chorwacki" lang="sh" hreflang="sh" data-title="Blackjack" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbsko-chorwacki" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Blackjack" title="Blackjack – fiński" lang="fi" hreflang="fi" data-title="Blackjack" data-language-autonym="Suomi" data-language-local-name="fiński" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Black_Jack" title="Black Jack – szwedzki" lang="sv" hreflang="sv" data-title="Black Jack" data-language-autonym="Svenska" data-language-local-name="szwedzki" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Blackjack" title="Blackjack – tagalski" lang="tl" hreflang="tl" data-title="Blackjack" data-language-autonym="Tagalog" data-language-local-name="tagalski" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Yirmibir" title="Yirmibir – turecki" lang="tr" hreflang="tr" data-title="Yirmibir" data-language-autonym="Türkçe" data-language-local-name="turecki" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%91%D0%BB%D0%B5%D0%BA%D0%B4%D0%B6%D0%B5%D0%BA" title="Блекджек – ukraiński" lang="uk" hreflang="uk" data-title="Блекджек" data-language-autonym="Українська" data-language-local-name="ukraiński" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Blackjack" title="Blackjack – wietnamski" lang="vi" hreflang="vi" data-title="Blackjack" data-language-autonym="Tiếng Việt" data-language-local-name="wietnamski" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Blackjack" title="Blackjack – waraj" lang="war" hreflang="war" data-title="Blackjack" data-language-autonym="Winaray" data-language-local-name="waraj" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E5%BB%BF%E4%B8%80%E7%82%B9" title="廿一点 – wu" lang="wuu" hreflang="wuu" data-title="廿一点" data-language-autonym="吴语" data-language-local-name="wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E5%BB%BF%E4%B8%80%E9%BB%9E" title="廿一點 – kantoński" lang="yue" hreflang="yue" data-title="廿一點" data-language-autonym="粵語" data-language-local-name="kantoński" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%BA%8C%E5%8D%81%E4%B8%80%E9%BB%9E" title="二十一點 – chiński" lang="zh" hreflang="zh" data-title="二十一點" data-language-autonym="中文" data-language-local-name="chiński" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q228044#sitelinks-wikipedia" title="Edytuj linki pomiędzy wersjami językowymi" class="wbc-editpage">Edytuj linki</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Przestrzenie nazw"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Blackjack" title="Zobacz stronę treści [c]" accesskey="c"><span>Artykuł</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Dyskusja:Blackjack" rel="discussion" title="Dyskusja o zawartości tej strony [t]" accesskey="t"><span>Dyskusja</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Zmień wariant języka" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">polski</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Widok"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Blackjack"><span>Czytaj</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Blackjack&veaction=edit" title="Edytuj tę stronę [v]" accesskey="v"><span>Edytuj</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Blackjack&action=edit" title="Edycja kodu źródłowego strony [e]" accesskey="e"><span>Edytuj kod źródłowy</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Blackjack&action=history" title="Starsze wersje tej strony [h]" accesskey="h"><span>Wyświetl historię</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Narzędzia dla stron"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Narzędzia" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Narzędzia</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Narzędzia</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">przypnij</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">ukryj</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Więcej opcji" > <div class="vector-menu-heading"> Działania </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Blackjack"><span>Czytaj</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Blackjack&veaction=edit" title="Edytuj tę stronę [v]" accesskey="v"><span>Edytuj</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Blackjack&action=edit" title="Edycja kodu źródłowego strony [e]" accesskey="e"><span>Edytuj kod źródłowy</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Blackjack&action=history"><span>Wyświetl historię</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Ogólne </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Specjalna:Linkuj%C4%85ce/Blackjack" title="Pokaż listę wszystkich stron linkujących do tej strony [j]" accesskey="j"><span>Linkujące</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Specjalna:Zmiany_w_linkowanych/Blackjack" rel="nofollow" title="Ostatnie zmiany w stronach, do których ta strona linkuje [k]" accesskey="k"><span>Zmiany w linkowanych</span></a></li><li id="t-upload" class="mw-list-item"><a href="//pl.wikipedia.org/wiki/Wikipedia:Prześlij_plik" title="Prześlij pliki [u]" accesskey="u"><span>Prześlij plik</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Specjalna:Strony_specjalne" title="Lista wszystkich stron specjalnych [q]" accesskey="q"><span>Strony specjalne</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Blackjack&oldid=75343593" title="Stały link do tej wersji tej strony"><span>Link do tej wersji</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Blackjack&action=info" title="Więcej informacji na temat tej strony"><span>Informacje o tej stronie</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Specjalna:Cytuj&page=Blackjack&id=75343593&wpFormIdentifier=titleform" title="Informacja o tym jak należy cytować tę stronę"><span>Cytowanie tego artykułu</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Specjalna:Skr%C3%B3%C4%87_adres_URL&url=https%3A%2F%2Fpl.wikipedia.org%2Fwiki%2FBlackjack"><span>Zobacz skrócony adres URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Specjalna:Kod_QR&url=https%3A%2F%2Fpl.wikipedia.org%2Fwiki%2FBlackjack"><span>Pobierz kod QR</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Drukuj lub eksportuj </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Specjalna:Ksi%C4%85%C5%BCka&bookcmd=book_creator&referer=Blackjack"><span>Utwórz książkę</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Specjalna:DownloadAsPdf&page=Blackjack&action=show-download-screen"><span>Pobierz jako PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Blackjack&printable=yes" title="Wersja do wydruku [p]" accesskey="p"><span>Wersja do druku</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> W innych projektach </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Blackjack" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q228044" title="Link do powiązanego elementu w repozytorium danych [g]" accesskey="g"><span>Element Wikidanych</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Narzędzia dla stron"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Wygląd"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Wygląd</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">przypnij</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">ukryj</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Z Wikipedii, wolnej encyklopedii</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="pl" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Plik:Blackjack.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/79/Blackjack.jpg/220px-Blackjack.jpg" decoding="async" width="220" height="269" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/79/Blackjack.jpg/330px-Blackjack.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/7/79/Blackjack.jpg 2x" data-file-width="426" data-file-height="520" /></a><figcaption>Blackjack – dwie karty, z których jedna to as (o wartości 11) a druga to karta o wartości 10, dając sumę 21.</figcaption></figure> <p><b><span lang="en">Blackjack</span></b> – <a href="/wiki/Kasyno" title="Kasyno">kasynowa</a> <a href="/wiki/Gra_karciana" title="Gra karciana">gra karciana</a>, w której gracz stara się pokonać <a href="/wiki/Krupier" title="Krupier">krupiera</a> poprzez uzyskanie sumy jak najbliższej 21 punktów w kartach jednak nie przekraczając 21. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Zasady_gry">Zasady gry</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Blackjack&veaction=edit&section=1" title="Edytuj sekcję: Zasady gry" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Blackjack&action=edit&section=1" title="Edytuj kod źródłowy sekcji: Zasady gry"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><span lang="en">Blackjack</span> jest kasynową wersją gry w <a href="/wiki/Oczko_(gra_karciana)" title="Oczko (gra karciana)">oczko</a>. Zadaniem gracza jest uzyskać jak najbliżej (ale nie więcej niż) 21 punktów. Najwyższym układem kart jest tzw. <span lang="en">Blackjack</span>, czyli as i 10 lub figura, za który gracz dostaje 150% zakładu (np. 15 zł za 10 zł). </p><p>W grze używa się kilku talii złożonych z 52 kart. Używa się ich od jednej aż do ośmiu. Regułą jest, że im mniej, tym lepiej dla gracza. </p> <div class="mw-heading mw-heading3"><h3 id="Punktacja_kart_w_blackjacku">Punktacja kart w blackjacku</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Blackjack&veaction=edit&section=2" title="Edytuj sekcję: Punktacja kart w blackjacku" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Blackjack&action=edit&section=2" title="Edytuj kod źródłowy sekcji: Punktacja kart w blackjacku"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Karty od dwójki do dziesiątki mają wartość równą numerowi karty.</li> <li><a href="/wiki/Walet" title="Walet">Walet</a>, <a href="/wiki/Dama_(karta)" title="Dama (karta)">dama</a> i <a href="/wiki/Kr%C3%B3l_(karta)" title="Król (karta)">król</a> mają wartość równą 10 punktów.</li> <li>As ma wartość równą 1 lub 11, w zależności co jest lepsze dla gracza.</li></ul> <p>W Blackjacka gra się przeciwko krupierowi. Gracz stawia zakład na specjalnym stole, używając żetonów. Następnie gracz i krupier dostają po dwie karty. Obydwie karty gracza są odkryte, natomiast tylko jedna karta krupiera jest pokazana graczowi. Gracz teraz może podjąć decyzje o swoim następnym ruchu. Gracz ma następujące możliwości: </p> <ul><li>Dobrać kartę (<span lang="en">hit</span>).</li> <li>Nie dobierać kart (<span lang="en">stand</span>).</li> <li>Podwoić stawkę (<span lang="en">double down</span>), możliwe tylko przy pierwszych dwóch kartach, gracz wtedy dostanie tylko jedną kartę.</li> <li>Rozdwoić karty (<span lang="en">split</span>), gdy dwie pierwsze karty gracza są tej samej wartości np. dwie ósemki. Gracz wtedy dokłada drugą stawkę (równą wartości pierwszej stawki) i może dobierać karty po rozdwojeniu.</li> <li>Ubezpieczenie (<span lang="en">insurance</span>) jest dodatkową stawką możliwą tylko, gdy odkrytą kartą krupiera jest <a href="/wiki/As_(karta)" title="As (karta)">as</a>. Gracz może postawić dodatkową stawkę, że drugą (zakrytą) kartą krupiera jest 10 lub figura (krupier ma Blackjacka). Gdy krupier ma blackjacka, gracz przegrywa stawkę podstawową, a za ubezpieczenie wygrywa 2 do 1. Ponieważ stawką ubezpieczenia jest połowa stawki podstawowej, więc za wygraną gracz otrzymuje sumę pieniędzy przegranych w stawce podstawowej (stąd nazwa <i>ubezpieczenie</i>).</li></ul> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Plik:Blackjack_game_example.JPG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Blackjack_game_example.JPG/220px-Blackjack_game_example.JPG" decoding="async" width="220" height="331" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Blackjack_game_example.JPG/330px-Blackjack_game_example.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Blackjack_game_example.JPG/440px-Blackjack_game_example.JPG 2x" data-file-width="694" data-file-height="1043" /></a><figcaption>Przykład gry w blackjacka.</figcaption></figure> <p>Jeżeli gracz po dobraniu kart ma więcej niż 21 punktów, przegrywa zakład i krupier zabiera jego żetony. Jeżeli natomiast gracz ma 21 punktów lub mniej, krupier odkrywa swoją zakrytą kartę i w zależności od liczby jego punktów może dobrać więcej kart. Krupier musi grać według następujących przepisów: wziąć kartę, jeżeli ma 16 punktów lub mniej i nie brać więcej kart, gdy ma 17 punktów lub więcej (niezależnie, ile punktów ma gracz). Wygrywa ten, który ma sumę punktów bliższą lub równą 21. </p> <div class="mw-heading mw-heading2"><h2 id="Strategia_podstawowa_w_blackjacku">Strategia podstawowa w blackjacku</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Blackjack&veaction=edit&section=3" title="Edytuj sekcję: Strategia podstawowa w blackjacku" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Blackjack&action=edit&section=3" title="Edytuj kod źródłowy sekcji: Strategia podstawowa w blackjacku"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Podobnie jak i w innych grach, w blackjacku kasyno ma nieznaczną matematyczną przewagę nad graczem, zwykle w wysokości kilku procent. Przewaga ta zależy od dokładnych zasad gry w danym kasynie i od strategii gracza. Na przykład, gdy gracz używa strategii krupiera, tj. zawsze dobiera karty do 17 punktów i nie dobiera więcej kart gdy ma 17 punktów lub więcej (niezależnie od karty krupiera), przewaga kasyna jest równa 5.48%. Inną strategią gracza może być tzw. <em lang="en">never bust</em> (czyli <i>bez fury</i>), tj. gracz nie dobiera kart, gdy ma więcej niż 11 punktów. Przewaga kasyna przy takiej strategii wynosi 3.91%. Gracz może też zmniejszyć przewagę kasyna do ok. 0.5% używając tzw. <i>strategii podstawowej</i>. </p> <div class="mw-heading mw-heading3"><h3 id="Tabela_strategii_podstawowej">Tabela strategii podstawowej</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Blackjack&veaction=edit&section=4" title="Edytuj sekcję: Tabela strategii podstawowej" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Blackjack&action=edit&section=4" title="Edytuj kod źródłowy sekcji: Tabela strategii podstawowej"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <table border="1" style="text-align:center;width:410px"> <tbody><tr> <td rowspan="2" style="background:#C0C0C0;height:50px;width:60px"><b>Karty gracza</b> </td> <td colspan="10" style="background:#FF99CC"><b>Karta krupiera</b> </td></tr> <tr style="height:25px"> <td style="background:#FF99CC"><b>2</b> </td> <td style="background:#FF99CC"><b>3</b> </td> <td style="background:#FF99CC"><b>4</b> </td> <td style="background:#FF99CC"><b>5</b> </td> <td style="background:#FF99CC"><b>6</b> </td> <td style="background:#FF99CC"><b>7</b> </td> <td style="background:#FF99CC"><b>8</b> </td> <td style="background:#FF99CC"><b>9</b> </td> <td style="background:#FF99CC"><b>10</b> </td> <td style="background:#FF99CC"><b>A</b> </td></tr> <tr style="height:25px"> <td colspan="11" style="background:#C0C0C0;height:25px"><b>Punkty (bez asów i par)</b> </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>5,6,7,8</b> </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>9</b> </td> <td style="background:#00FF00">H</td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>10</b> </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>11</b> </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>12</b> </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>13</b> </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>14</b> </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>15</b> </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>16</b> </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>17+</b> </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td></tr> <tr style="height:25px"> <td colspan="11" style="background:#C0C0C0;height:25px"><b>Pary z asem</b> </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-2</b> </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-3</b> </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-4</b> </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-5</b> </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-6</b> </td> <td style="background:#00FF00">H</td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-7</b> </td> <td style="background:#FF0000">S</td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-8</b> </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-9</b> </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td></tr> <tr style="height:25px"> <td colspan="11" style="background:#C0C0C0;height:25px"><b>Pary</b> </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-A</b> </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>2-2</b> </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td height="25" style="background:#00FF00">H </td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>3-3</b> </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>4-4</b> </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>5-5</b> </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>6-6</b> </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>7-7</b> </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>8-8</b> </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>9-9</b> </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FF0000">S </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>10-10</b> </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td></tr></tbody></table> <div style="line-height:30px"> <div style="float:left;background:#00FF00;height:30px;width:30px;text-align:center;border:1px solid black;margin:2px">H</div><span lang="en">Hit</span> – dobierz kartę<br style="clear:both;" /> <div style="float:left;background:#FF0000;height:30px;width:30px;text-align:center;border:1px solid black;margin:2px">S</div><span lang="en">Stand</span> – nie dobieraj kart<br style="clear:both;" /> <div style="float:left;background:#00FFFF;height:30px;width:30px;text-align:center;border:1px solid black;margin:2px">D</div><span lang="en">Double down</span> – podwój stawkę<br style="clear:both;" /> <div style="float:left;background:#FFFF00;height:30px;width:30px;text-align:center;border:1px solid black;margin:2px">P</div><span lang="en">Split</span> – rozdwój karty<br style="clear:both;" /> </div> <div class="mw-heading mw-heading3"><h3 id="Ubezpieczenie_(Insurance)_w_strategii_podstawowej"><span id="Ubezpieczenie_.28Insurance.29_w_strategii_podstawowej"></span>Ubezpieczenie (<span lang="en">Insurance</span>) w strategii podstawowej</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Blackjack&veaction=edit&section=5" title="Edytuj sekcję: Ubezpieczenie (Insurance) w strategii podstawowej" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Blackjack&action=edit&section=5" title="Edytuj kod źródłowy sekcji: Ubezpieczenie (Insurance) w strategii podstawowej"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Gracz używający strategii podstawowej nie stawia stawki ubezpieczenia (<span lang="en">Insurance</span>) z powodu wysokiej przewagi kasyna w tym zakładzie. </p> <div class="mw-heading mw-heading3"><h3 id="Blackjack_europejski"><span lang="en">Blackjack</span> europejski</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Blackjack&veaction=edit&section=6" title="Edytuj sekcję: Blackjack europejski" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Blackjack&action=edit&section=6" title="Edytuj kod źródłowy sekcji: Blackjack europejski"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>W Europie gra w blackjacka odbywa się na zasadach <span lang="en">ENHC</span> (<span lang="en">European no hole card</span>), wedle których krupier rozdaje sobie tylko jedną kartę (odkrytą). Powoduje to następujące zmiany w strategii podstawowej: </p> <ul><li>11 (u gracza) kontra 10 (u krupiera) – hit</li> <li>A-A kontra A – hit</li> <li>8-8 kontra A – hit</li> <li>8-8 kontra 10 – hit</li></ul> <div class="mw-heading mw-heading2"><h2 id="Liczenie_kart_w_blackjacku">Liczenie kart w blackjacku</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Blackjack&veaction=edit&section=7" title="Edytuj sekcję: Liczenie kart w blackjacku" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Blackjack&action=edit&section=7" title="Edytuj kod źródłowy sekcji: Liczenie kart w blackjacku"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Liczenie kart w blackjacku jest rodzajem strategii polegającej na założeniu, że gdy do rozdania pozostaje więcej kart wysokich niż niskich, matematyczna przewaga w grze jest chwilowo po stronie gracza, a nie kasyna. Doświadczony gracz potrafi rozpoznać tę sytuację poprzez ciągłe obserwowanie stosunku liczby kart wysokich do kart niskich. Gracz wykorzystuje ten moment poprzez znaczne podniesienie wysokości swoich stawek. W wypadku, gdy stosunek kart wysokich i niskich jest równy lub do rozdania pozostaje stosunkowo więcej kart niskich niż wysokich (tj. gdy matematyczna przewaga w grze jest po stronie kasyna) – gracz stawia tylko minimalne stawki. W ten sposób, w dłuższym okresie, wygrane gracza będą wyższe niż przegrane, dając graczowi statystyczną przewagę nad kasynem. Gracze liczący karty używają strategii podstawowej, często z małymi zmianami w zależności od zmiany w tzw. <i>wartości prawdziwej</i> (zobacz poniżej). </p> <div class="mw-heading mw-heading3"><h3 id="Historia_liczenia_kart_w_blackjacku">Historia liczenia kart w blackjacku</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Blackjack&veaction=edit&section=8" title="Edytuj sekcję: Historia liczenia kart w blackjacku" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Blackjack&action=edit&section=8" title="Edytuj kod źródłowy sekcji: Historia liczenia kart w blackjacku"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>W 1956 roku, grupa statystyków: Baldwin, Cantey, Maisel i McDermott opublikowała w Journal of the American Statistical Association <i>Rekomendacje do gry w 21</i>, czyli pierwszą wersję strategii podstawowej. W roku 1962, dr Edward O. Thorp, profesor matematyki w <a href="/wiki/New_Mexico_State_University" class="mw-redirect" title="New Mexico State University">New Mexico State University</a> opublikował książkę pod tytułem <em lang="en">Beat the Dealer: A Winning Strategy for the Game of Twenty-One</em>. Thorp zauważył, że gdy w talii pozostaje do rozdania więcej dziesiątek, figur i asów gracz ma większą szansę na wygraną; natomiast niskie karty, a szczególnie piątki i szóstki są pomocne dla kasyna. Podczas pisania książki, Dr Thorp użył komputera IBM 704 w <a href="/wiki/Massachusetts_Institute_of_Technology" title="Massachusetts Institute of Technology">Massachusetts Institute of Technology</a>, dzięki któremu obliczył on szczegóły strategii podstawowej i efekty liczenia kart. W 1963 roku książka „Beat the Dealer” weszła na pierwsze miejsce bestsellerów na liście New York Times. Jej popularność sprawiła, że <span lang="en">Blackjack</span> stał się najbardziej popularną grą w Las Vegas. </p> <div class="mw-heading mw-heading3"><h3 id="Metoda_Hi-Lo">Metoda <span lang="en">Hi-Lo</span></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Blackjack&veaction=edit&section=9" title="Edytuj sekcję: Metoda Hi-Lo" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Blackjack&action=edit&section=9" title="Edytuj kod źródłowy sekcji: Metoda Hi-Lo"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Metoda liczenia kart <span lang="en">Hi-Lo</span> (lub „<span lang="en">High-Low</span>”) jest najbardziej popularną wersją liczenia kart. Opisana początkowo w książce <em lang="en">Beat the Dealer: A Winning Strategy for the Game of Twenty-One</em> przez dr Edwarda Thorpa, została później udoskonalona przez innych autorów, m.in. przez Stanforda Wonga w <em lang="en">BlackJack Secrets</em>. Gracz używający tego systemu obserwuje zmiany stosunku kart wysokich do niskich poprzez przypisanie dodatkowej wartości do kart: </p> <ul><li>karty 2,3,4,5,6 mają wartość +1</li> <li>karty 7,8,9 mają wartość 0</li> <li>karty 10, J (walet), Q (dama), K (król), A (as) mają wartość -1</li></ul> <p>W ten sposób gracz otrzymuje tzw. <b>wartość bieżącą</b>. Oznacza to, że gdy wartość bieżąca jest wyższa niż 0, do rozdania pozostaje stosunkowo więcej kart wysokich niż niskich. Gdy wartość bieżąca jest mniejsza niż 0, pozostaje więcej kart niskich. Ponieważ najczęściej kasyna używają kilku talii kart (zwykle 4, 6 lub 8), aby obliczyć średni stosunek kart wysokich do niskich w jednej talii, gracz może podzielić wartość bieżącą przez ilość talii pozostałych do rozdania, otrzymując tzw. <b>wartość prawdziwą</b>. Gdy wartość bieżąca wynosi +6 i do rozdania pozostają 3 talie kart, wartość prawdziwa wynosi +2, tj. średnio w talii pozostałych do rozdania jest 2 karty wysokich więcej niż niskich. Metoda ta została zekranizowana w filmie Roberta Luketica pod tytułem „<a href="/wiki/21_(film)" title="21 (film)">21</a>”. </p> <div class="mw-heading mw-heading3"><h3 id="Przewaga_kasyna_w_zależności_od_wartości_prawdziwej"><span id="Przewaga_kasyna_w_zale.C5.BCno.C5.9Bci_od_warto.C5.9Bci_prawdziwej"></span>Przewaga kasyna w zależności od wartości prawdziwej</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Blackjack&veaction=edit&section=10" title="Edytuj sekcję: Przewaga kasyna w zależności od wartości prawdziwej" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Blackjack&action=edit&section=10" title="Edytuj kod źródłowy sekcji: Przewaga kasyna w zależności od wartości prawdziwej"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable" style="text-align:center"> <tbody><tr> <th>Wartość prawdziwa </th> <td>-5 </td> <td>-4 </td> <td>-3 </td> <td>-2 </td> <td>-1 </td> <td>0 </td> <td>1 </td> <td>2 </td> <td>3 </td> <td>4 </td> <td>5 </td></tr> <tr> <th>Przewaga kasyna </th> <td>3% </td> <td>2,5% </td> <td>2% </td> <td>1,5% </td> <td>1% </td> <td>0,5% </td> <td>0% </td> <td>-0,5% </td> <td>-1% </td> <td>-1,5% </td> <td>-2% </td></tr> <tr> <th>Przewaga gracza </th> <td>-3% </td> <td>-2,5% </td> <td>-2% </td> <td>-1,5% </td> <td>-1% </td> <td>-0,5% </td> <td>0% </td> <td>0,5% </td> <td>1% </td> <td>1,5% </td> <td>2% </td></tr></tbody></table> <div class="mw-heading mw-heading3"><h3 id="Zmiany_w_strategii_podstawowej_podczas_liczenia_kart">Zmiany w strategii podstawowej podczas liczenia kart</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Blackjack&veaction=edit&section=11" title="Edytuj sekcję: Zmiany w strategii podstawowej podczas liczenia kart" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Blackjack&action=edit&section=11" title="Edytuj kod źródłowy sekcji: Zmiany w strategii podstawowej podczas liczenia kart"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <table border="1" style="text-align:center;width:410px"> <tbody><tr> <td rowspan="2" style="background:#C0C0C0;height:50px;width:60px"><b>Karty gracza</b> </td> <td colspan="10" style="background:#FF99CC"><b>Karta krupiera</b> </td></tr> <tr style="height:25px"> <td style="background:#FF99CC"><b>2</b> </td> <td style="background:#FF99CC"><b>3</b> </td> <td style="background:#FF99CC"><b>4</b> </td> <td style="background:#FF99CC"><b>5</b> </td> <td style="background:#FF99CC"><b>6</b> </td> <td style="background:#FF99CC"><b>7</b> </td> <td style="background:#FF99CC"><b>8</b> </td> <td style="background:#FF99CC"><b>9</b> </td> <td style="background:#FF99CC"><b>10</b> </td> <td style="background:#FF99CC"><b>A</b> </td></tr> <tr style="height:25px"> <td colspan="11" style="background:#C0C0C0;height:25px"><b>Punkty (bez asów i par)</b> </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>8</b> </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">+5 </td> <td style="background:#00FF00">+3</td> <td style="background:#00FF00">+1 </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>9</b> </td> <td style="background:#00FF00">+1</td> <td style="background:#00FFFF">-1 </td> <td style="background:#00FFFF">-3 </td> <td style="background:#00FFFF">-5</td> <td style="background:#00FFFF">D </td> <td style="background:#00FF00">+3 </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>10</b> </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">-5</td> <td style="background:#00FFFF">-2 </td> <td style="background:#00FF00">+4</td> <td style="background:#00FF00">+4 </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>11</b> </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">-5 </td> <td style="background:#00FFFF">-5</td> <td style="background:#00FF00">+1 </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>12</b> </td> <td style="background:#00FF00">+3</td> <td style="background:#00FF00">+2 </td> <td style="background:#FF0000">-0 </td> <td style="background:#FF0000">-2</td> <td style="background:#FF0000">-1 </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>13</b> </td> <td style="background:#FF0000">-1</td> <td style="background:#FF0000">-2 </td> <td style="background:#FF0000">-4 </td> <td style="background:#FF0000">-5</td> <td style="background:#FF0000">-5 </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>14</b> </td> <td style="background:#FF0000">-4</td> <td style="background:#FF0000">-5 </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>15</b> </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">+4</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>16</b> </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">+5 </td> <td style="background:#00FF00">+0</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>17+</b> </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td></tr> <tr style="height:25px"> <td colspan="11" style="background:#C0C0C0;height:25px"><b>Pary z asem</b> </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-2</b> </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">+3 </td> <td style="background:#00FFFF">-0</td> <td style="background:#00FFFF">-2 </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-3</b> </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">+1 </td> <td style="background:#00FFFF">-2</td> <td style="background:#00FFFF">-5 </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-4</b> </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FFFF">-1 </td> <td style="background:#00FFFF">-5</td> <td style="background:#00FFFF">D </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-5</b> </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">+4 </td> <td style="background:#00FFFF">-3 </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-6</b> </td> <td style="background:#00FF00">+1</td> <td style="background:#00FFFF">-4 </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-7</b> </td> <td style="background:#FF0000">+0</td> <td style="background:#00FFFF">-3 </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-8</b> </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">+5 </td> <td style="background:#FF0000">+3 </td> <td style="background:#FF0000">+1</td> <td style="background:#FF0000">+1 </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-9</b> </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">+5</td> <td style="background:#FF0000">+4 </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td></tr> <tr style="height:25px"> <td colspan="11" style="background:#C0C0C0;height:25px"><b>Pary</b> </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>A-A</b> </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">-4 </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>2-2</b> </td> <td style="background:#FFFF00">-4</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>3-3</b> </td> <td style="background:#FFFF00">-0</td> <td style="background:#FFFF00">-5 </td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#00FF00">+4</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>4-4</b> </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">+1 </td> <td style="background:#FFFF00">-2</td> <td style="background:#FFFF00">-5 </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>5-5</b> </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D</td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">D </td> <td style="background:#00FFFF">-5</td> <td style="background:#00FFFF">-2 </td> <td style="background:#00FF00">+4</td> <td style="background:#00FF00">+1 </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>6-6</b> </td> <td style="background:#FFFF00">-2</td> <td style="background:#FFFF00">-2 </td> <td style="background:#FFFF00">-5 </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>7-7</b> </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#00FF00">+5</td> <td style="background:#00FF00">H </td> <td style="background:#00FF00">H</td> <td style="background:#00FF00">H </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>8-8</b> </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>9-9</b> </td> <td style="background:#FFFF00">-3</td> <td style="background:#FFFF00">-4 </td> <td style="background:#FFFF00">-6 </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FF0000">S </td> <td style="background:#FFFF00">P</td> <td style="background:#FFFF00">P </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td></tr> <tr style="height:25px"> <td style="background:#C0C0C0"><b>10-10</b> </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">+6 </td> <td style="background:#FF0000">+5</td> <td style="background:#FF0000">+4 </td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td> <td style="background:#FF0000">S</td> <td style="background:#FF0000">S </td></tr></tbody></table> <div class="mw-heading mw-heading3"><h3 id="Przykłady"><span id="Przyk.C5.82ady"></span>Przykłady</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Blackjack&veaction=edit&section=12" title="Edytuj sekcję: Przykłady" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Blackjack&action=edit&section=12" title="Edytuj kod źródłowy sekcji: Przykłady"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>gracz ma 8, krupier ma 4, (+5) gracz powinien wziąć kartę, z wyjątkiem gdy wartość prawdziwa jest +5 lub więcej – gracz wtedy podwaja stawkę.</li> <li>gracz ma 9, krupier ma 3, (-1) gracz podwaja stawkę, z wyjątkiem gdy wartość prawdziwa jest (-1) lub mniej – gracz wtedy bierze kartę.</li> <li>gracz ma 12, wartość prawdziwa wynosi plus 3 lub wyżej, krupier ma 2, gracz nie dobiera kart (pass)</li></ul> <div class="mw-heading mw-heading3"><h3 id="Ubezpieczenie_(Insurance)_przy_liczeniu_kart"><span id="Ubezpieczenie_.28Insurance.29_przy_liczeniu_kart"></span>Ubezpieczenie (<span lang="en">Insurance</span>) przy liczeniu kart</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Blackjack&veaction=edit&section=13" title="Edytuj sekcję: Ubezpieczenie (Insurance) przy liczeniu kart" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Blackjack&action=edit&section=13" title="Edytuj kod źródłowy sekcji: Ubezpieczenie (Insurance) przy liczeniu kart"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Postaw stawkę ubezpieczenie (<span lang="en">insurance</span>), tylko gdy wartość prawdziwa jest +3 lub więcej. </p> <div class="mw-heading mw-heading3"><h3 id="Budżetowanie"><span id="Bud.C5.BCetowanie"></span>Budżetowanie</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Blackjack&veaction=edit&section=14" title="Edytuj sekcję: Budżetowanie" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Blackjack&action=edit&section=14" title="Edytuj kod źródłowy sekcji: Budżetowanie"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Wielu graczy liczących karty w blackjacku używa systemu stawkowania zwanego <em lang="en">Kelly Criterion</em>. W uproszczeniu system <em lang="en">Kelly</em> polega na stawianiu stawki, której wysokość jest równa procentowi przewagi gracza nad przeciwnikiem. Dla przykładu, gdy przewaga gracza nad przeciwnikiem jest równa 1% i jego budżet w danym momencie jest równy $1000, gracz ten postawi stawkę równą 1% jego budżetu, tj. $10. Oczywiście w grze w <span lang="en">blackjack</span> konieczne są modyfikacje tego systemu, m.in. z powodu faktu, że większość stawek, które gracz stawia w blackjacku jest przy przewadze 0.5% kasyna (tj. kasyno ma przewagę nad graczem 0.5%, gdy wartość prawdziwa jest równa 0). </p> <style data-mw-deduplicate="TemplateStyles:r74016753">.mw-parser-output #normdaten>div+div{margin-top:0.5em}.mw-parser-output #normdaten>div>div{background:var(--background-color-neutral,#eaecf0);padding:.2em .5em}.mw-parser-output #normdaten ul{margin:0;padding:0}.mw-parser-output #normdaten ul li:first-child{padding-left:.5em;border-left:1px solid var(--border-color-base,#a2a9b1)}</style> <div id="normdaten" class="catlinks"><div class="normdaten-typ-fehlt"><div><a href="/wiki/Kontrola_autorytatywna" title="Kontrola autorytatywna">Kontrola autorytatywna</a> (<span class="description"><a href="/wiki/Gra_losowa" title="Gra losowa">gra losowa</a></span>):</div><ul><li><a href="/wiki/Library_of_Congress_Control_Number" title="Library of Congress Control Number">LCCN</a>: <span class="uid"><a rel="nofollow" class="external text" href="http://lccn.loc.gov/sh85014661">sh85014661</a></span></li><li><a href="/wiki/Gemeinsame_Normdatei" title="Gemeinsame Normdatei">GND</a>: <span class="uid"><a rel="nofollow" class="external text" href="http://d-nb.info/gnd/4116494-5">4116494-5</a></span></li><li><a href="/wiki/Centralna_Biblioteka_Narodowa_we_Florencji" title="Centralna Biblioteka Narodowa we Florencji">BNCF</a>: <span class="uid"><a rel="nofollow" class="external text" href="http://thes.bncf.firenze.sbn.it/termine.php?id=643">643</a></span></li><li><a href="/wiki/Biblioteka_Narodowa_Izraela" title="Biblioteka Narodowa Izraela">J9U</a>: <span class="uid"><a rel="nofollow" class="external text" href="http://olduli.nli.org.il/F/?func=find-b&local_base=NLX10&find_code=UID&request=987007283257305171">987007283257305171</a></span></li></ul></div><div class="normdaten-andere"><div><a href="/wiki/Encyklopedia_internetowa" title="Encyklopedia internetowa">Encyklopedie internetowe</a>:</div> <ul><li><a href="/wiki/Encyklopedia_Britannica" title="Encyklopedia Britannica">Britannica</a>: <span class="uid"><a rel="nofollow" class="external text" href="https://www.britannica.com/topic/blackjack-card-game">topic/blackjack-card-game</a></span></li> <li><a href="https://www.wikidata.org/wiki/Property:P3219" class="extiw" title="d:Property:P3219">Universalis</a>: <span class="uid"><a rel="nofollow" class="external text" href="https://www.universalis.fr/encyclopedie/blackjack/">blackjack</a></span></li> <li><a href="/wiki/Store_norske_leksikon" title="Store norske leksikon">SNL</a>: <span class="uid"><a class="external text" href="https://wikidata-externalid-url.toolforge.org/?p=4342&url_prefix=https://snl.no/&id=blackjack">blackjack</a></span></li> <li><a href="/wiki/Den_Store_Danske_Encyklop%C3%A6di" title="Den Store Danske Encyklopædi">DSDE</a>: <span class="uid"><a class="external text" href="https://wikidata-externalid-url.toolforge.org/?p=8313&url_prefix=https://lex.dk/&id=blackjack">blackjack</a></span></li></ul> </div></div></div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Źródło: „<a dir="ltr" href="https://pl.wikipedia.org/w/index.php?title=Blackjack&oldid=75343593">https://pl.wikipedia.org/w/index.php?title=Blackjack&oldid=75343593</a>”</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Specjalna:Kategorie" title="Specjalna:Kategorie">Kategorie</a>: <ul><li><a href="/wiki/Kategoria:Tradycyjne_gry_karciane" title="Kategoria:Tradycyjne gry karciane">Tradycyjne gry karciane</a></li><li><a href="/wiki/Kategoria:Gry_hazardowe" title="Kategoria:Gry hazardowe">Gry hazardowe</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Tę stronę ostatnio edytowano 24 lis 2024, 19:55.</li> <li id="footer-info-copyright">Tekst udostępniany na licencji <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.pl">Creative Commons: uznanie autorstwa, na tych samych warunkach</a>, z możliwością obowiązywania dodatkowych ograniczeń. 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