SOLUTION: In October 2004 the Boston Red Sox won the American League Championship playoff series 4 games to 3 after the New York Yankees had won the first 3 games. This was the first time in

Question 190018: In October 2004 the Boston Red Sox won the American League Championship playoff series 4 games to 3 after the New York Yankees had won the first 3 games. This was the first time in the history of Major League baseball that a team had come from a 3-0 deficit to win a 7-game playoff series.
Suppose teams A and B are playing in a series where the winner must win 4 games. And suppose that the games form independent trials where in each game played the probability that A wins is 0.36 and the probability that B wins is 0.64.
What is the probablity one of the teams wins the first 3 games but the other team wins the series?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
And suppose that the games form independent trials where in each game played the probability that A wins is 0.36 and the probability that B wins is 0.64.
What is the probablity one of the teams wins the first 3 games but the other team wins the series?
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Prob A wins after three losses:
(0.64)^3*(0.36)^4 = 0.0044
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Prob B wins after three losses:
(0.36)^3*0.64^4 = 0.00783
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Cheers,
Stan H.
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