If P(A) = .62, P(B) = .56, and P(A ∪ B) = .70, then P(B | A) = _____.
A) .4800
B) .7742
C) .9032
D) Not enough information is given to answer this question.

Name: If P(A) = .62, P(B) = .56, and P(A ∪ B) = .70, then P(B | A) = _____. A) .4800 B) .7742 C) .9032 D) Not enough information is given to answer this question.
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Question

Quizplus · Accepted Answer

P(B | A) = P(A ∩ B) / P(A). First, find P(A ∩ B) = P(A) + P(B) - P(A ∪ B) = .62 + .56 - .70 = .48. Then, P(B | A) = .48 / .62 = .7742.