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The World Series in baseball is won by the first team to win 4 games in...

The World Series in baseball is won by the first team to win 4 games in a series of 7. Clearly it cannot go longer than 7 games. Assume the two teams are evenly matched. (a) What is the probability that the team to win the first game wins the series? Explain the reasoning behind your computation in words. (b) Suppose that a team wins the first two games. What is the chance that it wins the series?

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