Suppose that A₁, A₂, and B are events where A₁ and A₂ are mutually exclusive events and P(A₁) = .7, P(A₂) = .3, P(B│A₁) = .2, P(B│A₂) = .4. Find P(A₂│B). A) 0.12 B) 0.26 C) 0.21 D) 0.14 E) 0.46

Name: Suppose that A 1 , A 2 , and B are events where A 1 and A 2 are mutually exclusive events and P(A 1 ) = .7, P(A 2 ) = .3, P(B│A 1 ) = .2, P(B│A 2 ) = .4. Find P(A 2 │B). A) 0.12 B) 0.26 C) 0.21 D) 0.14 E) 0.46
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Quizplus · Accepted Answer

P(A₂│B) = P(A₂∩B)/P(B) = .12/.26 = .46

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