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Math Help - Probability of hand with four aces

  1. #1
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    Probability of hand with four aces

    A well-shuffled deck of 52 cards is dealt to four players, each receiving 13 cards. Show that the probability of a player receiving a hand with four aces is 0.0026.

    I have no idea how to do this.
    Thanks
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  2. #2
    Member courteous's Avatar
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    Denominator: All possible "deals" of 13 cards to a player are numbers of sets with 13 elements you can construct out of all 52 cards: 52\choose 13.

    Numerator: Of these, the ones with 4 aces in them, are those that you make with all 4 aces and whatever 9 cards left to make a "deal": {4\choose 4} * {48\choose 9}
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