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Poker Math

May 5th, 2011 at 7:01:48 AM permalink
urbanmk
Member since: May 5, 2011
Threads: 1
Posts: 2
2 Players (A and B)
Each player holds 5 cards
Player A holds 4 aces and a 2 of hearts
Player B can beat the hand of Player A with a straight flush

How probable is the following event F: Player B has a straight flush

Pr[F] = |F| / |Ω| = (3 * 8 + 7) / ((52 - 5) over 5)= 31 / 1533939 = 2.02 * 10^(-5)

Is the above answer correct?


EDIT: the term ((52 - 5) over 5) should probably be combin((52 - 5), 5). I do not know the exact notation.
May 5th, 2011 at 7:21:24 AM permalink
Doc
Member since: Feb 27, 2010
Threads: 21
Posts: 2825
With your edit, it looks good to me. This is actually the conditional probability Pr[F/A], where A is the fact that player A has that specific hand.
May 9th, 2011 at 5:11:15 AM permalink
urbanmk
Member since: May 5, 2011
Threads: 1
Posts: 2
Thank you for your answer!

 

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