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In: Statistics and Probability

Consider a best-of-seven series. Two teams A and B play one another until one of the...

Consider a best-of-seven series. Two teams A and B play one another until one of the teams wins 4 games. The games are played indepedently, and the probability of team A winning any game is 2/3.

a. Find the expected number of games the series lasts.

b. Find the expected number of games team A wins.

c. Find the expected number of games team B wins.

d. Find the probability of team B winning the series.

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