This season, the probability that the Yankees will win a game is 0.61 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 0.44. What is the
probability that the Yankees will lose when they score fewer than 5 runs? Round your
answer to the nearest thousandth.

Respuesta :

The probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.

Probability

Given that this season, the probability that the Yankees will win a game is 0.61 and the probability that the Yankees will score 5 or more runs in a game is 0.56, and the probability that the Yankees win and score 5 or more runs is 0.44, to determine what is the probability that the Yankees will lose when they score fewer than 5 runs the following calculation must be made:

  • 1 - 0.61 = 0.39
  • 1 - 0.56 = 0.44
  • 0.39 x 0.44 = X
  • 0.1716 = X

Therefore, the probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.

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