Card Probability

Question

what is the probability that EXACTLY, not at LEAST, but EXACTLY,1 out of 3 cards is a spade, with the three cards drawn from a 52 card deck?

Answer 1

13 spades in a deck of 52 cards

number of combinations of 3 cards out of 52 = C(52,3) = 52! = 22,100

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49! 3!

number of combinations of 1 spade out of 13 spades = 13

number of combinations of 2 non-spades out of 39 remaining cards = C(39,2) = 39! = 741

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37! 2!

probability of one spade out of 3 cards drawn =

13 * 741/22,100 = 0.44