The probability of winning the baseball game and winning the football game = 0.32. The probability of winning the baseball game = 0.54. Given that information, what is the probability of winning the football game? What is the probability of winning either the baseball game OR the football game? Explain your answers.

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The probability of winning the baseball game and winning the football game = 0.32. The probability of winning the baseball game = 0.54. Given that information, what is the probability of winning the football game? What is the probability of winning either the baseball game OR the football game? Explain your answers.

Expert Solution
Step 1

Given data:

The probability of winning the baseball game and winning the football game is P(A∩B)=0.32.

The probability of winning the baseball game is P(A)=0.54.

The probability of winning the baseball game and the probability of winning the football game are independent events. The expression for the independent events is,

PAB=PA×PB

Substitute the given values in the above expression.

0.32=0.54×PBP(B)=0.5926

 

Thus, the probability of winning the football game is 0.5926.

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