Question

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 0.48. The probability that the Yankees lose and score fewer than 5 runs is 0.33. What is the probability that the Yankees will lose when they score 5 or more runs? Round your answer to the nearest thousandth.

Answer 1

Answer:

Since this season, the probability that the Yankees will win a game is 0.6 The probability that the Yankees will lose when they score 5 or more runs is 19.2%.

Step-by-step explanation:

Since 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 0.48, and he probability that the Yankees lose and score fewer than 5 runs is 0.33, To determine what is the probability that the Yankees will lose when they score 5 or more runs, the following calculation must be performed:

(1 - 0.6) x 0.48 = X

0.40 x 0.48 = X

0.192 = X

0.192 x 100 = 19.2

Therefore, the probability that the Yankees will lose when they score 5 or more runs is 19.2%.