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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 A’s field, the next three games on B’sfield, and the last two on A’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.

Answer & Explanation Solved by verified expert
3.7 Ratings (444 Votes)
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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