Suppose P(F)=1/3,   P(E and F)=3/4 and P(E or F)=4/5 Find P(E). Can this really be a probability? If not, explain why not.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.7: Probability And Odds
Problem 1C
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  1. Suppose P(F)=1/3,   P(E and F)=3/4 and P(E or F)=4/5

    Find P(E).
    Can this really be a probability? If not, explain why not.

Expert Solution
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P(E or F)=P(E)+P(F)-P(E and F)45=P(E)+13-34  [Plug the given values]P(E)=45-13+34P(E)=7360P(E)=1.21666666667

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