# Question

Cards are drawn from a standard 52- card deck. After each card is drawn, it is put back in the deck and the cards are reshuffled so that each card drawn is independent of all others. Let N be the random variable that represents the number of cards that are drawn before the second appearance of an ace. For example, if the sequence of cards drawn was {2, 5, K, 7, A, 5, 3, J, A ...}, then N would take on a value of 8. Find the probability mass function of N. That is, find PN (n) = Pr (N= n).

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