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. Bianca Andreescu will play Serena Williams in a tennis match. The winner is the first player to win 3 sets. Suppose that the probability
. Bianca Andreescu will play Serena Williams in a tennis match. The winner is the first player to win 3 sets. Suppose that the probability of Andreescu winning any given set is 0.6 and that the outcomes of different sets are independent. Calculate the probability that the match
(i) ends in 3 sets.
(ii) lasts 5 sets.
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