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Question

Three cards are dealt from a shuffled standard deck of playing cards.

What is the probability that the three cards dealt are, in order, an ace, a face card, and an 8? (A face card is a jack, queen, or king.)

Answer 1

There are 4 aces, 4*3=12 face cards, and 4 8s.

The number of ways that you can select 3 cards, where order matters, is P(52,3)

Thus, the probability of selecting an ace, then a face card, then an 8, is

4*12*4/(52*51*50) = 2*4/(13*17*25) = 8/5525 = .001448