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 0.55. The probability that the Yankees lose and score fewer than 5 runs is 0.29. What is the probability that the Yankees will lose when they score fewer than 5 runs? Round your answer to the nearest thousandth.

Answer 1

We want P(lose | score < 5) = P(lose and score < 5) / P(score < 5) = 0.29 / 0.45 = 29/45 ≈ 0.644.

Rounded to the nearest thousandth: 0.644.