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question this season, the probability that the yankees will win a game is 0.48 and the probability that the yankees will score 5 or

Question

Question This season, the probability that the Yankees will win a game is 0.48 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 0.38. What is the probability that the Yankees will win when they score fewer than 5 runs? Round your answer to the nearest thousandth. Answer Attemptiout of 2 square

Solution

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Mariana Mestre · Tutor por 5 anos

Resposta

To find the probability that the Yankees will win when they score fewer than 5 runs, we can use the formula for conditional probability: where:- is the event that the Yankees win.- is the event that the Yankees score fewer than 5 runs.First, we need to determine \( P(B) \), the probability that the Yankees score fewer than 5 runs. We know that: Therefore, the probability that the Yankees score fewer than 5 runs is: Next, we need to find \( P(A \cap B) \), the probability that the Yankees win and score fewer than 5 runs. We know that: Therefore, the probability that the Yankees win and score fewer than 5 runs is: Given that \( P(\text{Yankees win}) = 0.48 \): Now, we can use the conditional probability formula: Therefore, the probability that the Yankees will win when they score fewer than 5 runs is .