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Math Help - poker probability

  1. #1
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    poker probability

    Three-Card Poker.

    a) How many possible 3 card poker hands are there from a standard deck of 52 cards.

    b) The highest hand is a straight flush, three cards in order from the same suit (ie. 7-8-9 of hearts). What is the probability of getting a straight flush?
    Last edited by hello there; May 16th 2007 at 11:08 AM.
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  2. #2
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    Hello, hello there!

    a) How many possible 3-card poker hands are there from a standard deck of 52 cards?
    This is a "combination" problem.

    There are: .C(52,3) .= .52!/(3!49!) .= .22,100 possible poker hands.



    b) The highest hand is a straight flush,
    three cards in order from the same suit (i.e. 7-8-9 of hearts).
    What is the probability of getting a straight flush?
    Assuming that an Ace can be "high" or "low", the sequence can run from A-2-3 to Q-K-A.
    . . There are 12 possible sequences.
    Since there are 4 suits, there are: .4 12 .= .48 possible straight flushes.


    Therefore: .P(straight flush) .= .48/22,100 .= .12/5525

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