Step 1 :Given probabilities: P(Yankees win) = 0.51, P(Yankees score 5 or more runs) = 0.49, P(Yankees win and score 5 or more runs) = 0.39
Step 2 :Calculate P(Yankees lose and score 5 or more runs) = P(Yankees score 5 or more runs) - P(Yankees win and score 5 or more runs) = 0.49 - 0.39 = 0.1
Step 3 :Use conditional probability formula: P(Yankees lose | Yankees score 5 or more runs) = P(Yankees lose and score 5 or more runs) / P(Yankees score 5 or more runs) = 0.1 / 0.49
Step 4 :\( P(Yankees lose | Yankees score 5 or more runs) \approx 0.204 \)
Step 5 :\( \boxed{0.204} \)