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Cleopatra Keno Calculator - Calculate Odds & Winning Chances - Wizard of Odds
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itemprop="name" > Home</span> <meta itemprop="position" content="1"> </a> <span class="breadcrumbs-separator">›</span> </li> <li itemprop="itemListElement" itemscope="" itemtype="https://schema.org/ListItem" class="breadcrumbs-item"> <a href="/calculators/" itemprop="item"> <span itemprop="name" > Calculators</span> <meta itemprop="position" content="2"> </a> <span class="breadcrumbs-separator">›</span> </li> <li itemprop="itemListElement" itemscope="" itemtype="https://schema.org/ListItem" class="breadcrumbs-item"> <span itemprop="name" class="last" >Cleopatra Keno Calculator</span> <meta itemprop="position" content="3"> </li> </ul> </div> <time class="article-time">Last updated: Oct 01, 2024</time> </div> <div class="d-lm-none"> <div class="sideNav-block short"> <h3>On this page<i class="fa-solid fa-caret-down"></i></h3> </div> </div> <h1>Cleopatra Keno Calculator</h1> <div class="d-none-below-lm"> <div class="sideNav-block short"> <h3>On this page<i class="fa-solid fa-caret-down"></i></h3> </div> </div> <style type="text/css">/* .keno table { border:solid 1px #000; border-collapse:collapse; } .keno table th { background-color:#36C; border:solid 1px #000; color:#FFF; font-family:sans-serif; font-size:15px; font-weight:bold; padding:2px 4px; vertical-align:middle; } .keno table td { border:solid 1px #000; color:#000; font-family:sans-serif; font-size:13px; font-weight:normal; padding:2px 4px; vertical-align:middle; } .keno table td.f { background-color:#039; border:solid 1px #000; color:#FFF; font-family:sans-serif; font-size:13px; font-weight:bold; } .keno table .l { text-align:left; } .keno table .c { text-align:center; } .keno table .r { text-align:right; } */ .keno input { background-color:#FFF; border:solid 1px #000; font-family:'Tahoma','Verdana',sans-serif; font-size:13px; font-weight:normal; text-align:right; width:65px; } </style> <p>This calculator will calculate the return for any pay table in <a href="/games/cleopatra-keno/">Cleopatra Keno</a>.</p> <script type="text/javascript"> var Pays = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; var Comb = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; var Prob = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; var Freq = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; var Vari = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; var Retn = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; var BonusRetn = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; var TotalComb = 0; var TotalProb = 0; var TotalFreq = 0; var TotalVari = 0; var TotalRetn = 0; var TotalBonusRetn = 0; function Obj(i) { return document.getElementById(i); } function Combin(n, k) { var numerator = 1; var denominator = 1; k = k > (n >> 1) ? n - k : k; for (var x = 1; x <= k; x++) { numerator *= (n - k + x); denominator *= x; if ((numerator % denominator) == 0) { numerator /= denominator; denominator = 1; } } return numerator / denominator; } function HypGeomDist(x, n, M, N) { return Combin(M, x) * Combin(N - M, n - x) / Combin(N, n); } function Update() { var r = Obj("paytable").getElementsByTagName("tr"); var p = Obj("picks").selectedIndex; var x = 0; if (p > 0) { p += 3; } for ( ; x < (p - 1); x++) { try { r[x].style.display = "table-row"; } catch (e) { r[x].style.display = "block"; } if (x > 0) { Obj("prize" + (x - 1)).value = (Pays[x - 1] < 0 ? "" : Pays[x - 1]); } } for ( ; x < r.length; x++) { r[x].style.display = "none"; } document.getElementById('paytable_div').style.display = (p > 0 ? 'block' : 'none'); Obj("results").innerHTML = ""; } function Calculate() { var p = Obj("picks").selectedIndex; if (p < 1) { return; } Comb = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; Prob = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; Freq = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; Vari = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; Retn = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; BonusRetn = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; TotalComb = 0; TotalProb = 0; TotalFreq = 0; TotalVari = 0; TotalRetn = 0; TotalBonusRetn = 0; for (var x = 0; x <= p; x++) { Comb[x] = Combin(20, x) * Combin(60, p - x); TotalComb += Comb[x]; } for (var x = 0; x <= p; x++) { Prob[x] = Comb[x]/TotalComb; Retn[x] = Prob[x] * Pays[x]; Freq[x] = 1 / Prob[x]; TotalProb += Prob[x]; TotalRetn += Retn[x]; if (Pays[x] > 0) { TotalFreq += Prob[x]; } } for (var x = 0; x <= p; x++) { if (Pays[x] > 0) { BonusRetn[x]=Prob[x]*(x/20)*12*2*TotalRetn; } } for (var x = 0; x <= p; x++) { Retn[x]+=BonusRetn[x]; TotalRetn+=BonusRetn[x]; } if (TotalFreq > 0) { TotalFreq = 1 / TotalFreq; } for (var x = 0; x <= p; x++) { Vari[x] = (Pays[x] - TotalRetn) * (Pays[x] - TotalRetn) * Prob[x]; TotalVari += Vari[x]; } var t = ""; t += "<div class=\"box\">\n<h3 class=\"box-title\">Results</h3><!--/box-title-->\n<div class=\"box-content has-data\">\n<table class=\"data\" cellspacing=\"0\" cellpadding=\"0\" border=\"0\">\n"; t += "<tr>\n"; t += "<th class=\"data-heading\">Matches</th>\n"; t += "<th class=\"data-heading\">Prize</th>\n"; t += "<th class=\"data-heading\">Combinations</th>\n"; t += "<th class=\"data-heading\">Probability</th>\n"; t += "<th class=\"data-heading\">Frequency</th>\n"; /* t += "<th class=\"data-heading\">Variance</th>\n"; */ t += "<th class=\"data-heading\">Return</th>\n"; t += "</tr>"; for (var x = 0; x <= p; x++) { t += "<tr>\n"; t += "<td>" + x + "</td>\n"; t += "<td>" + (Pays[x] <= 0 ? 0 : Pays[x]) + "</td>\n"; t += "<td>" + FormatNum(Comb[x], 0) + "</td>\n"; t += "<td>" + FormatNum(Prob[x], 15) + "</td>\n"; t += "<td>" + FormatNum(Freq[x], 2) + "</td>\n"; /* t += "<td>" + FormatNum(Vari[x], 15) + "</td>\n"; */ t += "<td>" + FormatNum(Retn[x], 15) + "</td>\n"; t += "</tr>\n"; } t += "<tr>\n"; t += "<td colspan='2' class=\"data-heading\"><strong>Totals</strong></td>\n"; t += "<td>" + FormatNum(TotalComb, 0) + "</td>\n"; t += "<td>" + FormatNum(TotalProb, 15) + "</td>\n"; t += "<td>" + FormatNum(TotalFreq, 2) + "</td>\n"; /* t += "<td>" + FormatNum(TotalVari, 15) + "</td>\n"; */ t += "<td\>" + FormatNum(TotalRetn, 15) + "</td>\n"; t += "</tr>\n"; t += "</table>\n</div><!--/box-content-->\n</div><!--/box-->\n"; Obj("results").innerHTML = t; } function Save(i) { var v = parseFloat(Obj("prize" + i).value); if (isNaN(v)) { Pays[i] = 0; } else { Pays[i] = v; } } function FormatNum(n, d) { var ten = Math.pow(10, d); var int = Math.floor(Math.round(n * ten) / ten).toFixed(0); var dec = (n - Math.floor(n)).toFixed(d).substring(1); var mod = (int.length % 3 ? int.length % 3 : 3); var txt = ""; if (int.length) { while (int.length) { txt += int.substring(0, mod); int = int.substring(mod); if (int.length) { txt += ","; mod = 3; } } } else { txt += "0"; } return txt + (d > 0 ? dec : ""); } function Reset() { Pays = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; Obj("results").innerHTML = ""; Obj("picks").selectedIndex = 0; Update(); } </script> <div class="keno"> <p class="c"><label for="picks">Number of Picks:</label> <select id="picks" onchange="Update();"><option>(choose)</option><option>1</option><option>2</option><option>3</option><option>4</option><option>5</option><option>6</option><option>7</option><option>8</option><option>9</option><option>10</option> </select></p> <div class="box" id="paytable_div" style="display:none;"> <h3 class="box-title">Paytable</h3> <!--/box-title--> <div class="box-content has-data"> <table border="0" cellpadding="0" cellspacing="0" class="data" id="paytable"> <tbody> <tr style="display:none;"> <th class="data-heading">Matches</th> <th class="data-heading">Prize</th> </tr> <tr style="display:none;"> <td>0</td> <td><input id="prize0" maxlength="8" onblur="Save( 0);" onchange="Save( 0);" onkeyup="Save( 0);" onmouseup="Save( 0);" /></td> </tr> <tr style="display:none;"> <td>1</td> <td><input id="prize1" maxlength="8" onblur="Save( 1);" onchange="Save( 1);" onkeyup="Save( 1);" onmouseup="Save( 1);" /></td> </tr> <tr style="display:none;"> <td>2</td> <td><input id="prize2" maxlength="8" onblur="Save( 2);" onchange="Save( 2);" onkeyup="Save( 2);" onmouseup="Save( 2);" /></td> </tr> <tr style="display:none;"> <td>3</td> <td><input id="prize3" maxlength="8" onblur="Save( 3);" onchange="Save( 3);" onkeyup="Save( 3);" onmouseup="Save( 3);" /></td> </tr> <tr style="display:none;"> <td>4</td> <td><input id="prize4" maxlength="8" onblur="Save( 4);" onchange="Save( 4);" onkeyup="Save( 4);" onmouseup="Save( 4);" /></td> </tr> <tr style="display:none;"> <td>5</td> <td><input id="prize5" maxlength="8" onblur="Save( 5);" onchange="Save( 5);" onkeyup="Save( 5);" onmouseup="Save( 5);" /></td> </tr> <tr style="display:none;"> <td>6</td> <td><input id="prize6" maxlength="8" onblur="Save( 6);" onchange="Save( 6);" onkeyup="Save( 6);" onmouseup="Save( 6);" /></td> </tr> <tr style="display:none;"> <td>7</td> <td><input id="prize7" maxlength="8" onblur="Save( 7);" onchange="Save( 7);" onkeyup="Save( 7);" onmouseup="Save( 7);" /></td> </tr> <tr style="display:none;"> <td>8</td> <td><input id="prize8" maxlength="8" onblur="Save( 8);" onchange="Save( 8);" onkeyup="Save( 8);" onmouseup="Save( 8);" /></td> </tr> <tr style="display:none;"> <td>9</td> <td><input id="prize9" maxlength="8" onblur="Save( 9);" onchange="Save( 9);" onkeyup="Save( 9);" onmouseup="Save( 9);" /></td> </tr> <tr style="display:none;"> <td>10</td> <td><input id="prize10" maxlength="8" onblur="Save(10);" onchange="Save(10);" onkeyup="Save(10);" onmouseup="Save(10);" /></td> </tr> </tbody> 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