He prior probabilities for events and are and . It is also known that . Suppose and . a. Are events and mutually exclusive?

Yes

Explain.

(i) P(A1 ∩ A2) = 0

(ii) P(A1) + P(A2) = 1

(iii) P(A2) ≠ P (A2 | A1)

(iv) P(A2) ≠ P(A2 | A1)

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