Two baseball teams play a best-of-seven series, in which the series ends as soon as one...

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Two baseball teams play a best-of-seven series, in which theseries ends as soon as one team wins four games. The first twogames are to be played on Aâ€™s field, the next three games on Bâ€™sfield, and the last two on Aâ€™s field. The probability that A wins agame is 0:7 at home and 0:5 away. Assume that the results of thegames are independent. Find the probability that:
(a) A wins the series in 4 games; in 5 games;
(b) the series does not go to 6 games.

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I will refer to team A as A and to team B as B The probability that A wins a game at home is 07 The probability that A wins a game away is 05 The first 2 games are played at As home and the next three at Bs home and the last two back on As a Find the probability that A will win the series in 4 games For this to happen A must win the See Answer

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