The events A1, A2, . . . are mutually exclusive and exhaustive. We have provided P(A1), P(A2),

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The events A1, A2, . . . are mutually exclusive and exhaustive. We have provided P(A1), P(A2), . . . and P(B | A1), P(B | A2), . . . . In each case,

a. Use the rule of total probability to find P(B).

b. Apply Bayes's rule to find P(A1 | B).

The events A1, A2, . . . are mutually exclusive
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