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In a World Series, teams A and B play until one team wins four games. Suppose...

In a World Series, teams A and B play until one team wins four games. Suppose all games are independent, and that on each game, the probability that team A beats team B is 2/3. a. What is the probability that team A wins the series in four games? b. What is the probability that team A wins the series, given team B won games 1 and 2?

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