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5) (2+1+3+4=10) A and B are tennis players. Every time A plays against B, the probability that A wins =0.7 and the probability that B
5) (2+1+3+4=10) A and B are tennis players. Every time A plays against B, the probability that A wins =0.7 and the probability that B wins = 0.3. Assume the matches are independent. a) Suppose A and B play 5 matches against each other. What is the probability that B will win at least 4 matches? b) What is the probability that A's first win will occur on the 4th match? c) Suppose now A is playing in a best-of-five tournament against B (whoever is the first to win 3 matches wins the tournament). What is the probability that A will win the tournament in 5 matches? d) Let the assumptions of Part (c) hold. What is the probability that A will win the tournament
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