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Question This season, the probability that the Yankees will win a game is 0.54 and the probability that the Yankees will score 5 or more runs in a game is 0.54 . The probability that the Yankees win and score 5 or more runs is o __ What is the probability that the Yankees will win when they score 5 or more runs? Round your answer to the nearest thousandth. Answer Attemptiout of 2 square
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ClarissaVeterano · Tutor por 12 anos
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To find the probability that the Yankees will win when they score 5 or more runs, we can use the formula for conditional probability:<br /><br />\[ P(\text{Win} | \text{5 or more runs}) = \frac{P(\text{Win and 5 or more runs})}{P(\text{5 or more runs})} \]<br /><br />Given:<br />- \( P(\text{Win}) = 0.54 \)<br />- \( P(\text{5 or more runs}) = 0.54 \)<br />- \( P(\text{Win and 5 or more runs}) = 0 \)<br /><br />Substitute the given values into the formula:<br /><br />\[ P(\text{Win} | \text{5 or more runs}) = \frac{0}{0.54} = 0 \]<br /><br />Therefore, the probability that the Yankees will win when they score 5 or more runs is 0.
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