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Event 1
The prior probabilities of events A1,A2,and A3 are P(A1)= .50,P(A2)= .20 and P(A3)= .30.The conditional probabilities of event B given A1,A2,and A3 are P(B / A1)= .40,P(B / A2)= .50 and P(B / A3)= .30.
-Apply Bayes' theorem to compute the posterior probability P(A2 / B).
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