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Probability of getting 4 aces out of a hand of 5

  1. Apr 10, 2012 #1
    If you have a standard deck of 52 cards, what is the probability that out of a hand of 5 cards you get 4 aces?



    First I found the total # of ways for choosing 5 cards from 52 = (52 C 5) = 2,598,960
    Then the # of hands which has 4 aces is 48 (because the 5th card can be any of 48 other cards).
    So there is 1 chance in (2,598,960/48) = 54,145 of being dealt 4 aces in a 5 card hand.
    The probability is 1/54,145 ≈ .0018469%

    Did I do this right?
     
  2. jcsd
  3. Apr 10, 2012 #2

    Dick

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    Looks ok to me.
     
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