Let P(A U B) = .8, and P(A) = .6. Find P(B) assuming A and B are independent! Then determine whether or not A and B are mutually exclusive.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Let P(A U B) = .8, and P(A) = .6. Find P(B) assuming A and B are independent! Then determine
whether or not A and B are mutually exclusive.
Transcribed Image Text:Let P(A U B) = .8, and P(A) = .6. Find P(B) assuming A and B are independent! Then determine whether or not A and B are mutually exclusive.
Expert Solution
Step 1

Given that 

P(A U B) = 0.8 , P(Ac) = 0.6

 

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P(B) = 0.4 / 0.6 = 2 / 3 = 0.6667 

where did all the numbers in this line come from?

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