This season, the probability that the Yankees will win a game is 0.5 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 would score fewer than 5 runs when they lose the game? Round your answer to the nearest thousandth.

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Answer:

The answer is .64

Step-by-step explanation:

The probability that the Yankees would score fewer than 5 runs when they lose the game is 0.62.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

The probability that the Yankees will win a game = 0.5

The probability that the Yankees will score 5 or more runs = 0.56

The probability that the Yankees win and score 5 or more runs = 0.38

We know that the value of total probability is ≤ 1.

The probability that the Yankees would score fewer than 5 runs when they lose the game,

⇒,[tex]0.38+P(e)=1[/tex]

⇒ [tex]P(e)= 1-0.38[/tex]

⇒ [tex]0.62[/tex]

Hence  we can conclude that the probability that the Yankees would score fewer than 5 runs when they lose the game is 0.62.

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