Poker Statistics & Probability











up vote
-1
down vote

favorite












Probability of being dealt pairs



$4P2 * 13over 52P2$ = 5.88%, 4 different ways to choose from and arrange 4 cards from a suit times thirteen suits.



Given Board State {10D, 10C, JD, ?, ?} and 2 dead hands and one active hand, and your hand {JC, JS}:



Probability of other player holding two tens:



$2 over 43*42 $ = 0.11%, all the dead cards mean that 43 are remaining and there are 43P2 ways of choosing hands for that and only 2 in which the opposite player would have 2 10s.



River is Jack:



$frac{1}{41} + frac{1}{40}$ = 4.9%, either the first one is a Jack or the second one is a Jack



Dealt QD, probability of Royal Flush:



$frac{3P2*39}{41P3}$ = 14.6%, 3P2 ways to arrange the 2 cards you need and the other card you don't need over the possible ways you could be dealt the cards.



$frac{3P2}{39P2}$ = 0.6%, 3P2 ways to choose the jacks that you can have from 39P2 choices.



I apologize profusely because I am not very good at statistics and this has been troubling me greatly. I want to know the flaws in how I am thinking.










share|cite|improve this question


























    up vote
    -1
    down vote

    favorite












    Probability of being dealt pairs



    $4P2 * 13over 52P2$ = 5.88%, 4 different ways to choose from and arrange 4 cards from a suit times thirteen suits.



    Given Board State {10D, 10C, JD, ?, ?} and 2 dead hands and one active hand, and your hand {JC, JS}:



    Probability of other player holding two tens:



    $2 over 43*42 $ = 0.11%, all the dead cards mean that 43 are remaining and there are 43P2 ways of choosing hands for that and only 2 in which the opposite player would have 2 10s.



    River is Jack:



    $frac{1}{41} + frac{1}{40}$ = 4.9%, either the first one is a Jack or the second one is a Jack



    Dealt QD, probability of Royal Flush:



    $frac{3P2*39}{41P3}$ = 14.6%, 3P2 ways to arrange the 2 cards you need and the other card you don't need over the possible ways you could be dealt the cards.



    $frac{3P2}{39P2}$ = 0.6%, 3P2 ways to choose the jacks that you can have from 39P2 choices.



    I apologize profusely because I am not very good at statistics and this has been troubling me greatly. I want to know the flaws in how I am thinking.










    share|cite|improve this question
























      up vote
      -1
      down vote

      favorite









      up vote
      -1
      down vote

      favorite











      Probability of being dealt pairs



      $4P2 * 13over 52P2$ = 5.88%, 4 different ways to choose from and arrange 4 cards from a suit times thirteen suits.



      Given Board State {10D, 10C, JD, ?, ?} and 2 dead hands and one active hand, and your hand {JC, JS}:



      Probability of other player holding two tens:



      $2 over 43*42 $ = 0.11%, all the dead cards mean that 43 are remaining and there are 43P2 ways of choosing hands for that and only 2 in which the opposite player would have 2 10s.



      River is Jack:



      $frac{1}{41} + frac{1}{40}$ = 4.9%, either the first one is a Jack or the second one is a Jack



      Dealt QD, probability of Royal Flush:



      $frac{3P2*39}{41P3}$ = 14.6%, 3P2 ways to arrange the 2 cards you need and the other card you don't need over the possible ways you could be dealt the cards.



      $frac{3P2}{39P2}$ = 0.6%, 3P2 ways to choose the jacks that you can have from 39P2 choices.



      I apologize profusely because I am not very good at statistics and this has been troubling me greatly. I want to know the flaws in how I am thinking.










      share|cite|improve this question













      Probability of being dealt pairs



      $4P2 * 13over 52P2$ = 5.88%, 4 different ways to choose from and arrange 4 cards from a suit times thirteen suits.



      Given Board State {10D, 10C, JD, ?, ?} and 2 dead hands and one active hand, and your hand {JC, JS}:



      Probability of other player holding two tens:



      $2 over 43*42 $ = 0.11%, all the dead cards mean that 43 are remaining and there are 43P2 ways of choosing hands for that and only 2 in which the opposite player would have 2 10s.



      River is Jack:



      $frac{1}{41} + frac{1}{40}$ = 4.9%, either the first one is a Jack or the second one is a Jack



      Dealt QD, probability of Royal Flush:



      $frac{3P2*39}{41P3}$ = 14.6%, 3P2 ways to arrange the 2 cards you need and the other card you don't need over the possible ways you could be dealt the cards.



      $frac{3P2}{39P2}$ = 0.6%, 3P2 ways to choose the jacks that you can have from 39P2 choices.



      I apologize profusely because I am not very good at statistics and this has been troubling me greatly. I want to know the flaws in how I am thinking.







      probability statistics poker






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked 2 days ago









      Ryan Schaefer

      991




      991



























          active

          oldest

          votes











          Your Answer





          StackExchange.ifUsing("editor", function () {
          return StackExchange.using("mathjaxEditing", function () {
          StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
          StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
          });
          });
          }, "mathjax-editing");

          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "69"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          convertImagesToLinks: true,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: 10,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          noCode: true, onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














           

          draft saved


          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3005397%2fpoker-statistics-probability%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown






























          active

          oldest

          votes













          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes
















           

          draft saved


          draft discarded



















































           


          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3005397%2fpoker-statistics-probability%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          'app-layout' is not a known element: how to share Component with different Modules

          android studio warns about leanback feature tag usage required on manifest while using Unity exported app?

          WPF add header to Image with URL pettitions [duplicate]