Probability math question

Question

This season, the probability that the Yankees will win a game is 0.44 and the probability that the Yankees will score 5 or more runs in a game is 0.6. The probability that the Yankees win and score 5 or more runs is 0.35. What is the probability that the Yankees will win when they score fewer than 5 runs? Round your answer to the nearest thousandth.

Answer 1

draw a Venn diagram

2 overlapping circles

the overlap is 35%

P(w)=44%

P(>/=5)=60%

P(w^>/=5) = 35%

P(w^<5) = 9%

9% is the answer or 0.09

P(losing) = P(L) = 56%

P(L^>/=5) = 25%

P(L^</=5) = 31%