This season, the probability that the Yankees will win a game is 0.6 and the probability that the Yankees will score 5 or more runs in a game is 0.59. The probability that the Yankees lose and score fewer than 5 runs is 0.33. What is the probability that the Yankees would score fewer than 5 runs when they lose the game? Round your answer to the nearest thousandth.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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This season, the probability that the Yankees will win a game is 0.6 and the probability that the Yankees will score 5 or more runs in a game is 0.59. The probability that the Yankees lose and score fewer than 5 runs is 0.33. What is the probability that the Yankees would score fewer than 5 runs when they lose the game? Round your answer to the nearest thousandth.
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Step 1

Answer:- Given,  The probability that the Yankees will win a game is 0.6

So, The probability that the Yankees will lose a game is = 1 -0.6 = 0.4 

The probability that the Yankees lose and score fewer than 5 runs is 0.33.

Using formula, 

P(A|B) = P(A∩B)/P(B) 

 

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