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Math Help - What is the chance of not having drawn every card after n draws.

  1. #1
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    What is the chance of not having drawn every card after n draws.

    52 cards
    Draw 1 at a time with replacement.
    What is the probability that after n draws you have not drawn every card at least once?
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  2. #2
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    Quote Originally Posted by bob000 View Post
    52 cards
    Draw 1 at a time with replacement.
    What is the probability that after n draws you have not drawn every card at least once?
    This known as the coupon collection problem.
    There is no simple answer.
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  3. #3
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    If n is greater than 52*log(52) then the probability is 0 on average, for the case of n being less than or equal to 52*log(52) and greater than 52, thats a difficult one.
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