Expected number of cards to be drawn from a deck until all the aces are drawn.
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This question is more easily answered in general. The expected number of cards in an n-card deck that need to be turned over to see the first of k cards is (n+1)/(k+1). In this case, n=52, k=4 (there are four aces) so the answer is 53/5 = 10.6.
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