A bridge hand is found by taking 13 cards at random and without replacement from a deck

Chapter 1, Problem 1.2-13

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A bridge hand is found by taking 13 cards at random and without replacement from a deck of 52 playing cards. Find the probability of drawing each of the following hands. (a) One in which there are 5 spades, 4 hearts, 3 diamonds, and 1 club. (b) One in which there are 5 spades, 4 hearts, 2 diamonds, and 2 clubs. (c) One in which there are 5 spades, 4 hearts, 1 diamond, and 3 clubs. (d) Suppose you are dealt 5 cards of one suit, 4 cards of another. Would the probability of having the other suits split 3 and 1 be greater than the probability of having them split 2 and 2?

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