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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**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".
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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