Problem

Tennis, Anyone? Two tennis professionals, A and B, are scheduled to play a match; t...

Tennis, Anyone? Two tennis professionals, A and B, are scheduled to play a match; the winner is the first player to win three sets in a total that cannot exceed five sets. The event that A wins any one set is independent of the event that A wins any other, and the probability that A wins any one set is equal to .6. Let x equal the total number of sets in the match; that is, x = 3, 4, or 5. Find p(x).

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