Question 143057: If the probability that the team from the National League will win is 3/5 for each game, what is the probability that the National League team will win the World Series?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! If the probability that the team from the National League will win is 3/5 for each game, what is the probability that the National League team will win the World Series?
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To win the Series the national league would need 4 victories while the
american league could have 0,1,2, or 3 victories.
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P(national win) = 3/5 ; P(american win) = 2/5
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P(national wins series)= P(0 am,4 na) + P(1 am, 4na) + P(2 am, 4na) + P(3am,4na)
= (3/5)^4 + 5C4(3/5)^4(2/5) + 6C4(3/5)^4(2/5)^2 + 7C4(3/5)^4(2/5)3
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I'll let you do the arithmetic
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Cheers,
Stan H.
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