Question: Suppose the events B1, B2, and B3 are mutually exclusive and complementary events such that P(B1) = .2, P(B2) = .15, and P(B3) = .65.

Suppose the events B1, B2, and B3 are mutually exclusive and complementary events such that P(B1) = .2, P(B2) = .15, and P(B3) = .65. Consider another event A such that P(A | B1) = .4, P(A | B2) = .25, and P(A | B3) = .6. Use Bayes’s rule to find
a. P(B1 | A)
b. P(B2 | A)
c. P(B3 | A)

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