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In: Statistics and Probability

For all the baseball fans out there: Assuming that two teams are evenly matched in the...

For all the baseball fans out there: Assuming that two teams are evenly matched in the World Series (a championship series of at most 7 games; the first team to win 4 games wins the Series) so that the probability of each team winning each game is 50%, and assuming each game is independent of each other game, what is the probability that the Series will be won in exactly 4 games? 5? 6? that the Series goes to game 7?

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