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Math Help - [SOLVED] Probability involving Combination

  1. #1
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    [SOLVED] Probability involving Combination

    I hope that this is the right part of the forum for this question, if its mistakenly not, please forgive me

    In a game of bridge the pack of 52 cards is shared equally between all four players. What is the probability that one particular player has no hearts ?

    Please help !
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  2. #2
    MHF Contributor matheagle's Avatar
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     {{13\choose 0}{39\choose 13}\over {52\choose 13}} ={{39\choose 13}\over {52\choose 13}}

    via the hypergeo or if you want to use conditional probabilities....

     \biggl({39\over 52}\biggr)\biggl({38\over 51}\biggr)\biggl({37\over 50}\biggr)\cdots \biggl({27\over 40}\biggr)
    Last edited by matheagle; October 30th 2009 at 08:21 PM.
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