If P(E) = 0.40, P(E or F) = 0.45, and P(E and F)=D0.10, find P(F). P(F) =(Simplify your answer.)
If P(E) = 0.40, P(E or F) = 0.45, and P(E and F)=D0.10, find P(F). P(F) =(Simplify your answer.)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 66E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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Question
![**Problem Statement:**
Given the following probabilities:
- P(E) = 0.40
- P(E or F) = 0.45
- P(E and F) = 0.10
Find P(F).
**Solution:**
\[
P(F) = P(E or F) + P(E and F) - P(E)
\]
Calculate P(F) using the formula and simplify your answer. Enter your answer in the answer box and then click "Check Answer".](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26e9d1e4-e751-46db-8f1e-f1957aec9903%2F8094c4d1-9809-4db6-9325-12c0766160ec%2F8wbnqys_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Given the following probabilities:
- P(E) = 0.40
- P(E or F) = 0.45
- P(E and F) = 0.10
Find P(F).
**Solution:**
\[
P(F) = P(E or F) + P(E and F) - P(E)
\]
Calculate P(F) using the formula and simplify your answer. Enter your answer in the answer box and then click "Check Answer".
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