Poker Statistics & Probability











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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.










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    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






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      asked 2 days ago









      Ryan Schaefer

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