Answered: The probability of winning the baseball…

Name: The probability of winning the baseball game and winning the football
Uploaded: 2024-03-20T07:07:00.000Z
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Description: 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 e

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...

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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,

$P (A \cap B) = P (A) \times P (B)$

Substitute the given values in the above expression.

$\begin{array}{rcl} 0.32 & = & 0.54 \times P (B) \\ P (B) & = & 0.5926 \end{array}$

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

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