Suppose that A and B be events such that P(A) = P(B) = 1/3, and P(A or

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Suppose that A and B be events such that P(A) = P(B) = 1/3, and P(A or B) = 1/2.
a. Are events A and B mutually exclusive? Explain your answer.
b. Determine P(A & B).
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