In women's tennis, a player must win 2 out of 3 sets to win a match. If
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In women's tennis, a player must win 2 out of 3 sets to win a match. If a player wins the first 2 sets, she wins the match and the third set is not played. Player V and Player M will compete in a match.
(a). What is the probability that Player V will win a match against Player M?
(b). What is the probability that a match between Player V and Player M will consist of 3 sets given that Player V wins the match?
(c). What is the expected number of sets played when Player V competes in a match with Player M?
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