Please can someone help me with this?

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 0.56. The probability that the Yankees win and score 5 or more runs is 0.38. 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(w) = .51

P(5+) =.56

P(w^5+)=. P(w/5+)P(5+)

P(w/5+)= .38/.56 = .68

P(~w/5+)=1-.68=.32

P(a/b)P(b) = P(a^b)

P(a/b)=1-P(~a/b)