Pr(A) = 0.36, Pr(B) = 0.3. Pr(A|B) = 0.46. What is Pr(~A and B) (probability of...

Question

Question

Pr(A) = 0.36, Pr(B) = 0.3. Pr(A|B) = 0.46. What is Pr(~A and B) (probability of not A, and B)?

business finance

Answer 1

Answer #1

Pr(A|B) = 0.46
Pr(B) = 0.30

Pr(A|B) = Pr(A and B) / Pr(B)
0.46 = Pr(A and B) / 0.30
Pr(A and B) = 0.138

Pr(not A and B) = Pr(B) - Pr(A and B)
Pr(not A and B) = 0.30 - 0.138
Pr(not A and B) = 0.162

Answer 2

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