Poker Tournament Calculator - Analyze Winning Chances

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Odds, his website, and his helpers', 'Twitter', 'toolbar=0,location=0,menubar=0,directories=0,scrollbars=0,width=550,height=450', 'Twitter', 'toolbar=0,location=0,menubar=0,directories=0,scrollbars=0,width=550,height=450');" class="share-block--item twitter"><i class="fa-brands fa-twitter"></i>Tweet</span> </div> </div> </div> </div> <section class="header lazy-load" data-src="/build/images/header/header_bg.jpg"> <a class="header-logo--link" href="https://wizardofodds.com/"> <img src="/build/images/header/header_logo.png" alt="WOO header logo" class="header-logo" width="588" height="148" loading="lazy"> </a> </section> <main> <div class="container article"> <div class="row"> <div class="col-md-24"> <div class="content"> <div class="article-header border-top"> <div class="breadcrumbs-holder"> <ul itemscope="itemscope" itemtype="https://schema.org/BreadcrumbList" class="breadcrumbs-list"> <li itemprop="itemListElement" itemscope="" itemtype="https://schema.org/ListItem" class="breadcrumbs-item"> <a href="/" itemprop="item"> <span 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" >Poker Tournament 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>Poker Tournament 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> <p><script type="text/javascript"> function poker_onclick() { var myForm=document.form1; var stack_array=new Array(); var prob_array=new Array(); var prize_array=new Array(); var exp_prize_array=new Array(); var chip_prob_array=new Array(); var i,j,p0,p1,p2,p3,p4,p5,p6,p7,p8,pr; stack_array[0]=parseFloat(myForm.stack0.value); stack_array[1]=parseFloat(myForm.stack1.value); stack_array[2]=parseFloat(myForm.stack2.value); stack_array[3]=parseFloat(myForm.stack3.value); stack_array[4]=parseFloat(myForm.stack4.value); stack_array[5]=parseFloat(myForm.stack5.value); stack_array[6]=parseFloat(myForm.stack6.value); stack_array[7]=parseFloat(myForm.stack7.value); stack_array[8]=parseFloat(myForm.stack8.value); prize_array[0]=parseFloat(myForm.prize0.value); prize_array[1]=parseFloat(myForm.prize1.value); prize_array[2]=parseFloat(myForm.prize2.value); prize_array[3]=parseFloat(myForm.prize3.value); prize_array[4]=parseFloat(myForm.prize4.value); prize_array[5]=parseFloat(myForm.prize5.value); prize_array[6]=parseFloat(myForm.prize6.value); prize_array[7]=parseFloat(myForm.prize7.value); prize_array[8]=parseFloat(myForm.prize8.value); var total_chips=0; for (i=0; i<=8; i++) { prob_array[i]=new Array(); exp_prize_array[i]=0; if (isNaN(stack_array[i])) { stack_array[i]=0; } if (isNaN(prize_array[i])) { prize_array[i]=0; } for (j=0; j<=8; j++) { prob_array[i][j]=0; } if (stack_array[i]>0) { total_chips+=stack_array[i]; } } for (p0=0; p0<=8; p0++) { // br-00 if (total_chips>0) { chip_prob_array[0]=(stack_array[p0]/total_chips); } else { chip_prob_array[0]=1/9; } total_chips-=stack_array[p0]; for (p1=0; p1<=8; p1++) { // br-1 if (p1!=p0) { // br-2 if (total_chips>0) { chip_prob_array[1]=(stack_array[p1]/total_chips); } else { chip_prob_array[6]=0.125; } total_chips-=stack_array[p1]; for (p2=0; p2<=8; p2++) { // br-3 if ((p2!=p0)&&(p2!=p1)) { // br-4 if (total_chips>0) { chip_prob_array[2]=(stack_array[p2]/total_chips); } else { chip_prob_array[2]=1/7; } total_chips-=stack_array[p2]; for (p3=0; p3<=8; p3++) { // br-5 if ((p3!=p0)&&(p3!=p1)&&(p3!=p2)) { // br-6 if (total_chips>0) { chip_prob_array[3]=(stack_array[p3]/total_chips); } else { chip_prob_array[3]=1/6; } total_chips-=stack_array[p3]; for (p4=0; p4<=8; p4++) { // br-7 if ((p4!=p0)&&(p4!=p1)&&(p4!=p2)&&(p4!=p3)) { // br-8 if (total_chips>0) { chip_prob_array[4]=(stack_array[p4]/total_chips); } else { chip_prob_array[4]=0.2; } total_chips-=stack_array[p4]; for (p5=0; p5<=8; p5++) { // br-9 if ((p5!=p0)&&(p5!=p1)&&(p5!=p2)&&(p5!=p3)&&(p5!=p4)) { // br-10 if (total_chips>0) { chip_prob_array[5]=(stack_array[p5]/total_chips); } else { chip_prob_array[5]=0.25; } total_chips-=stack_array[p5]; for (p6=0; p6<=8; p6++) { // br-11 if ((p6!=p0)&&(p6!=p1)&&(p6!=p2)&&(p6!=p3)&&(p6!=p4)&&(p6!=p5)) { // br-12 if (total_chips>0) { chip_prob_array[6]=(stack_array[p6]/total_chips); } else { chip_prob_array[6]=(1/3); } total_chips-=stack_array[p6]; for (p7=0; p7<=8; p7++) { // br-13 if ((p7!=p0)&&(p7!=p1)&&(p7!=p2)&&(p7!=p3)&&(p7!=p4)&&(p7!=p5)&&(p7!=p6)) { // br-14 if (total_chips>0) { chip_prob_array[7]=(stack_array[p7]/total_chips); } else { chip_prob_array[7]=0.5; } total_chips-=stack_array[p7]; for (p8=0; p8<=8; p8++) { // br-15 if ((p8!=p0)&&(p8!=p1)&&(p8!=p2)&&(p8!=p3)&&(p8!=p4)&&(p8!=p5)&&(p8!=p6)&&(p8!=p7)) { // br-16 pr=1; for (i=0; i<=7; i++) { pr*=chip_prob_array[i]; } prob_array[p0][0]+=pr; prob_array[p1][1]+=pr; prob_array[p2][2]+=pr; prob_array[p3][3]+=pr; prob_array[p4][4]+=pr; prob_array[p5][5]+=pr; prob_array[p6][6]+=pr; prob_array[p7][7]+=pr; prob_array[p8][8]+=pr; } // br-16 } // br-15 total_chips+=stack_array[p7]; } // br-14 } // br-13 total_chips+=stack_array[p6]; } // br-12 } // br-11 total_chips+=stack_array[p5]; } // br-10 } // br-9 total_chips+=stack_array[p4]; } // br-8 } // br-7 total_chips+=stack_array[p3]; } // br-6 } // br-5 total_chips+=stack_array[p2]; } // br-4 } // br-3 total_chips+=stack_array[p1]; } // br-2 } // br-1 total_chips+=stack_array[p0]; } // br-00 for (i=0; i<=8; i++) { for (j=0; j<=8; j++) { exp_prize_array[i]+=prob_array[i][j]*prize_array[j]; prob_array[i][j]=Math.round(prob_array[i][j]*1000000)/1000000; } exp_prize_array[i]=Math.round(exp_prize_array[i]*100)/100; } window.document.form1.ans00.value=prob_array[0][0]; window.document.form1.ans01.value=prob_array[0][1]; window.document.form1.ans02.value=prob_array[0][2]; window.document.form1.ans03.value=prob_array[0][3]; window.document.form1.ans04.value=prob_array[0][4]; window.document.form1.ans05.value=prob_array[0][5]; window.document.form1.ans06.value=prob_array[0][6]; window.document.form1.ans07.value=prob_array[0][7]; window.document.form1.ans08.value=prob_array[0][8]; window.document.form1.ans10.value=prob_array[1][0]; window.document.form1.ans11.value=prob_array[1][1]; window.document.form1.ans12.value=prob_array[1][2]; window.document.form1.ans13.value=prob_array[1][3]; window.document.form1.ans14.value=prob_array[1][4]; window.document.form1.ans15.value=prob_array[1][5]; window.document.form1.ans16.value=prob_array[1][6]; window.document.form1.ans17.value=prob_array[1][7]; window.document.form1.ans18.value=prob_array[1][8]; if (stack_array[2]>0) { window.document.form1.ans20.value=prob_array[2][0]; window.document.form1.ans21.value=prob_array[2][1]; window.document.form1.ans22.value=prob_array[2][2]; window.document.form1.ans23.value=prob_array[2][3]; window.document.form1.ans24.value=prob_array[2][4]; window.document.form1.ans25.value=prob_array[2][5]; window.document.form1.ans26.value=prob_array[2][6]; window.document.form1.ans27.value=prob_array[2][7]; window.document.form1.ans28.value=prob_array[2][8]; } if (stack_array[3]>0) { window.document.form1.ans30.value=prob_array[3][0]; window.document.form1.ans31.value=prob_array[3][1]; window.document.form1.ans32.value=prob_array[3][2]; window.document.form1.ans33.value=prob_array[3][3]; window.document.form1.ans34.value=prob_array[3][4]; window.document.form1.ans35.value=prob_array[3][5]; window.document.form1.ans36.value=prob_array[3][6]; window.document.form1.ans37.value=prob_array[3][7]; window.document.form1.ans38.value=prob_array[3][8]; } if (stack_array[4]>0) { window.document.form1.ans40.value=prob_array[4][0]; window.document.form1.ans41.value=prob_array[4][1]; window.document.form1.ans42.value=prob_array[4][2]; window.document.form1.ans43.value=prob_array[4][3]; window.document.form1.ans44.value=prob_array[4][4]; window.document.form1.ans45.value=prob_array[4][5]; window.document.form1.ans46.value=prob_array[4][6]; window.document.form1.ans47.value=prob_array[4][7]; window.document.form1.ans48.value=prob_array[4][8]; } if (stack_array[5]>0) { window.document.form1.ans50.value=prob_array[5][0]; window.document.form1.ans51.value=prob_array[5][1]; window.document.form1.ans52.value=prob_array[5][2]; window.document.form1.ans53.value=prob_array[5][3]; window.document.form1.ans54.value=prob_array[5][4]; window.document.form1.ans55.value=prob_array[5][5]; window.document.form1.ans56.value=prob_array[5][6]; window.document.form1.ans57.value=prob_array[5][7]; window.document.form1.ans58.value=prob_array[5][8]; } if (stack_array[6]>0) { window.document.form1.ans60.value=prob_array[6][0]; window.document.form1.ans61.value=prob_array[6][1]; window.document.form1.ans62.value=prob_array[6][2]; window.document.form1.ans63.value=prob_array[6][3]; window.document.form1.ans64.value=prob_array[6][4]; window.document.form1.ans65.value=prob_array[6][5]; window.document.form1.ans66.value=prob_array[6][6]; window.document.form1.ans67.value=prob_array[6][7]; window.document.form1.ans68.value=prob_array[6][8]; } if (stack_array[7]>0) { window.document.form1.ans70.value=prob_array[7][0]; window.document.form1.ans71.value=prob_array[7][1]; window.document.form1.ans72.value=prob_array[7][2]; window.document.form1.ans73.value=prob_array[7][3]; window.document.form1.ans74.value=prob_array[7][4]; window.document.form1.ans75.value=prob_array[7][5]; window.document.form1.ans76.value=prob_array[7][6]; window.document.form1.ans77.value=prob_array[7][7]; window.document.form1.ans78.value=prob_array[7][8]; } if (stack_array[8]>0) { window.document.form1.ans80.value=prob_array[8][0]; window.document.form1.ans81.value=prob_array[8][1]; window.document.form1.ans82.value=prob_array[8][2]; window.document.form1.ans83.value=prob_array[8][3]; window.document.form1.ans84.value=prob_array[8][4]; window.document.form1.ans85.value=prob_array[8][5]; window.document.form1.ans86.value=prob_array[8][6]; window.document.form1.ans87.value=prob_array[8][7]; window.document.form1.ans88.value=prob_array[8][8]; } window.document.form1.share0.value=exp_prize_array[0]; window.document.form1.share1.value=exp_prize_array[1]; if (stack_array[2]>0) { window.document.form1.share2.value=exp_prize_array[2]; } if (stack_array[3]>0) { window.document.form1.share3.value=exp_prize_array[3]; } if (stack_array[4]>0) { window.document.form1.share4.value=exp_prize_array[4]; } if (stack_array[5]>0) { window.document.form1.share5.value=exp_prize_array[5]; } if (stack_array[6]>0) { window.document.form1.share6.value=exp_prize_array[6]; } if (stack_array[7]>0) { window.document.form1.share7.value=exp_prize_array[7]; } if (stack_array[8]>0) { window.document.form1.share8.value=exp_prize_array[8]; } } document.addEventListener('DOMContentLoaded', function() { var pokerCalculator = document.querySelector('.keno'); if (pokerCalculator) { pokerCalculator.addEventListener('submit', function(e) { e.preventDefault(); poker_onclick(); }); } }); </SCRIPT>To use this calculator, enter the amount of each chip stack, and optionally any prize money for each place. If there are fewer than nine players, leave the last player positions empty. For example, if there are five players, fill in stack amounts for players 1 to 5 only. Do not skip positions, or you will get nonsensical results. Then click "calculate."<br /> <br /> The program will calculate the probability of each player finishing in each possible position, as well as his expected share of the prize pool.</p> <p>Player Stacks:</p> <form abframeid="iframe.0.38949831406216284" abineguid="84213A54F42649688CD38EB9A65AA574" class="keno" name="form1"> <p>Player 1: <input name="stack0" type="text" /><br /> Player 2: <input name="stack1" type="text" /><br /> Player 3: <input name="stack2" type="text" /><br /> Player 4: <input name="stack3" type="text" /><br /> Player 5: <input name="stack4" type="text" /><br /> Player 6: <input name="stack5" type="text" /><br /> Player 7: <input name="stack6" type="text" /><br /> Player 8: <input name="stack7" type="text" /><br /> Player 9: <input name="stack8" type="text" /></p> <p>Prize Money:</p> <p>Place 1: <input name="prize0" type="text" /><br /> Place 2: <input name="prize1" type="text" /><br /> Place 3: <input name="prize2" type="text" /><br /> Place 4: <input name="prize3" type="text" /><br /> Place 5: <input name="prize4" type="text" /><br /> Place 6: <input name="prize5" type="text" /><br /> Place 7: <input name="prize6" type="text" /><br /> Place 8: <input name="prize7" type="text" /><br /> Place 9: <input name="prize8" type="text" /></p> <input name="OperBut1" type="submit" value="Calculate" /> <p> </p> <p>Player 1:</p> <p>Place 1 = <input disabled="disabled" name="ans00" type="text" /><br /> Place 2 = <input disabled="disabled" name="ans01" type="text" /><br /> Place 3 = <input disabled="disabled" name="ans02" type="text" /><br /> Place 4 = <input disabled="disabled" name="ans03" type="text" /><br /> Place 5 = <input disabled="disabled" name="ans04" type="text" /><br /> Place 6 = <input disabled="disabled" name="ans05" type="text" /><br /> Place 7 = <input disabled="disabled" name="ans06" type="text" /><br /> Place 8 = <input disabled="disabled" name="ans07" type="text" /><br /> Place 9 = <input disabled="disabled" name="ans08" type="text" /></p> <p>Player 2:</p> <p>Place 1 = <input disabled="disabled" name="ans10" type="text" /><br /> Place 2 = <input disabled="disabled" name="ans11" type="text" /><br /> Place 3 = <input disabled="disabled" name="ans12" type="text" /><br /> Place 4 = <input disabled="disabled" name="ans13" type="text" /><br /> Place 5 = <input disabled="disabled" name="ans14" type="text" /><br /> Place 6 = <input disabled="disabled" name="ans15" type="text" /><br /> Place 7 = <input disabled="disabled" name="ans16" type="text" /><br /> Place 8 = <input disabled="disabled" name="ans17" type="text" /><br /> Place 9 = <input disabled="disabled" name="ans18" type="text" /></p> <p>Player 3:</p> <p>Place 1 = <input disabled="disabled" name="ans20" type="text" /><br /> Place 2 = <input disabled="disabled" name="ans21" type="text" /><br /> Place 3 = <input disabled="disabled" name="ans22" type="text" /><br /> Place 4 = <input disabled="disabled" name="ans23" type="text" /><br /> Place 5 = <input disabled="disabled" name="ans24" type="text" /><br /> Place 6 = <input disabled="disabled" name="ans25" type="text" /><br /> Place 7 = <input disabled="disabled" name="ans26" type="text" /><br /> Place 8 = <input disabled="disabled" name="ans27" type="text" /><br /> Place 9 = <input disabled="disabled" name="ans28" type="text" /></p> <p>Player 4:</p> <p>Place 1 = <input disabled="disabled" name="ans30" type="text" /><br /> Place 2 = <input disabled="disabled" name="ans31" type="text" /><br /> Place 3 = <input disabled="disabled" name="ans32" type="text" /><br /> Place 4 = <input disabled="disabled" name="ans33" type="text" /><br /> Place 5 = <input disabled="disabled" name="ans34" type="text" /><br /> Place 6 = <input disabled="disabled" name="ans35" type="text" /><br /> Place 7 = <input disabled="disabled" name="ans36" type="text" /><br /> Place 8 = <input disabled="disabled" name="ans37" type="text" /><br /> Place 9 = <input disabled="disabled" name="ans38" type="text" />.</p> <p>Player 5:</p> <p>Place 1 = <input disabled="disabled" name="ans40" type="text" /><br /> Place 2 = <input disabled="disabled" name="ans41" type="text" /><br /> Place 3 = <input disabled="disabled" name="ans42" type="text" /><br /> Place 4 = <input disabled="disabled" name="ans43" type="text" /><br /> Place 5 = <input disabled="disabled" name="ans44" type="text" /><br /> Place 6 = <input disabled="disabled" name="ans45" type="text" /><br /> Place 7 = <input disabled="disabled" name="ans46" type="text" /><br /> Place 8 = <input disabled="disabled" name="ans47" type="text" /><br /> Place 9 = <input disabled="disabled" name="ans48" type="text" /></p> <p>Player 6:</p> <p>Place 1 = <input disabled="disabled" name="ans50" type="text" /><br /> Place 2 = <input disabled="disabled" name="ans51" type="text" /><br /> Place 3 = <input disabled="disabled" name="ans52" type="text" /><br /> Place 4 = <input disabled="disabled" name="ans53" type="text" /><br /> Place 5 = <input disabled="disabled" name="ans54" type="text" /><br /> Place 6 = <input disabled="disabled" name="ans55" type="text" /><br /> Place 7 = <input disabled="disabled" name="ans56" type="text" /><br /> Place 8 = <input disabled="disabled" name="ans57" type="text" /><br /> Place 9 = <input disabled="disabled" name="ans58" type="text" />.</p> <p>Player 7:</p> <p>Place 1 = <input disabled="disabled" name="ans60" type="text" /><br /> Place 2 = <input disabled="disabled" name="ans61" type="text" /><br /> Place 3 = <input disabled="disabled" name="ans62" type="text" /><br /> Place 4 = <input disabled="disabled" name="ans63" type="text" /><br /> Place 5 = <input disabled="disabled" name="ans64" type="text" /><br /> Place 6 = <input disabled="disabled" name="ans65" type="text" /><br /> Place 7 = <input disabled="disabled" name="ans66" type="text" /><br /> Place 8 = <input disabled="disabled" name="ans67" type="text" /><br /> Place 9 = <input disabled="disabled" name="ans68" type="text" /></p> <p>Player 8:</p> <p>Place 1 = <input disabled="disabled" name="ans70" type="text" /><br /> Place 2 = <input disabled="disabled" name="ans71" type="text" /><br /> Place 3 = <input disabled="disabled" name="ans72" type="text" /><br /> Place 4 = <input disabled="disabled" name="ans73" type="text" /><br /> Place 5 = <input disabled="disabled" name="ans74" type="text" /><br /> Place 6 = <input disabled="disabled" name="ans75" type="text" /><br /> Place 7 = <input disabled="disabled" name="ans76" type="text" /><br /> Place 8 = <input disabled="disabled" name="ans77" type="text" /><br /> Place 9 = <input disabled="disabled" name="ans78" type="text" /></p> <p>Player 9:</p> <p>Place 1 = <input disabled="disabled" name="ans80" type="text" /><br /> Place 2 = <input disabled="disabled" name="ans81" type="text" /><br /> Place 3 = <input disabled="disabled" name="ans82" type="text" /><br /> Place 4 = <input disabled="disabled" name="ans83" type="text" /><br /> Place 5 = <input disabled="disabled" name="ans84" type="text" /><br /> Place 6 = <input disabled="disabled" name="ans85" type="text" /><br /> Place 7 = <input disabled="disabled" name="ans86" type="text" /><br /> Place 8 = <input disabled="disabled" name="ans87" type="text" /><br /> Place 9 = <input disabled="disabled" name="ans88" type="text" /></p> <p>Expected Win:</p> <p>Player 1 = <input disabled="disabled" name="share0" type="text" /><br /> Player 2 = <input disabled="disabled" name="share1" type="text" /><br /> Player 3 = <input disabled="disabled" name="share2" type="text" /><br /> Player 4 = <input disabled="disabled" name="share3" type="text" /><br /> Player 5 = <input disabled="disabled" name="share4" type="text" /><br /> Player 6 = <input disabled="disabled" name="share5" type="text" /><br /> Player 7 = <input disabled="disabled" name="share6" type="text" /><br /> Player 8 = <input disabled="disabled" name="share7" type="text" /><br /> Player 9 = <input disabled="disabled" name="share8" type="text" /></p> <p><em>Michael Shackleford, A.S.A.</em></p> <p><strong>Methodology</strong>: I assume all players are of equal skill. The math is the same as if it were a coin flipping tournament, where chips are transferred between players randomly. Except once a player is knocked out, he is permanently out. The program uses nine nested loops to determine the probability each player finishing in each place.</p> <p>The results match those produced by the Independent Chip Model, which is mentioned in the article <a href="http://www.cardplayer.com/poker-news/16167-amir-lehavot-selling-action-for-world-series-of-poker-main-event-final-table" rel="nofollow" target="_blank">Amir Lehavot Selling Action For World Series Of Poker Main Event Final Table</a>. It was that article that caused me to write this application.</p> </form> <div class="clearfix"></div> <div class="heading-row"> <h2> <img loading="lazy" width="30" height="21" title="Singapore" src="/build/images/flags/svg/4x3/sg.svg" alt="SG"> Singapore Recommended Online Poker Rooms </h2> <a class="page-scroll" href="/online-casinos/reviews/">View All <i class="fa-sharp fa-solid fa-arrow-right"></i></a> </div> <div class="top-casinos--block"> <div class="top-casinos--item white-card"> <div class="top-casinos--info"> <div class="casino-logo"> <a href="https://wizardofodds.com/click/everygame-poker" rel="nofollow sponsored" target="_blank"> <img class="colored-logo" width="115" height="115" src="/media/modules/casino/logos/21027/5e297950-2cc7-4456-b3c4-5a02a8219f77.png" alt="5e297950-2cc7-4456-b3c4-5a02a8219f77" loading="lazy"> </a> </div> <div class="casino-info"> <div class="casino-info--bonus"> <p> <strong>200 % </strong> up to </p> <p> <strong>1000$</strong> </p> <p 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Poker Tournament Calculator - Analyze Winning Chances - Wizard of Odds