In a word series teams a and b play until one team wins, Basic Statistics

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In a word series teams a and b play until one team wins

Question: In a word series, teams A and B play until one team wins four games. Suppose games are independent, and that on each game, the probability that team A beats B is 2/3.

a) What is the probability that team A wins the series in four games?

b) What is the probability that team A wins the series, given team B won games and 2?

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Basic Statistics: In a word series teams a and b play until one team wins

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Basic Statistics: In a word series teams a and b play until one team wins

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