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Tennis players play 5 sets against each other with the

Tennis players play 5 sets against each other, with the player that wins the majority winning the match. Suppose player A has probability 0.7 of winning each set, independently.

a. What is the probability that A wins the match?

b. What is the probability that A loses the first game and wins the match?

c. What is the probability that A wins the match conditioned on a losing the first game?

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Mathematics: Tennis players play 5 sets against each other with the

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