Question

This season, the probability that the Yankees will win a game is 0.51 and the probability that the Yankees will score 5 or more runs in a game is 0.58. The probability that the Yankees win and score 5 or more runs is 0.4. 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

P(lose | score ≥ 5) = P(lose and score ≥ 5) / P(score ≥ 5) = (0.58 − 0.40) / 0.58 = 0.18 / 0.58 ≈ 0.310.