Question: Let A, A2, and A3 be events defined on some specific sample space S. Find expressions involving only union, intersection, and complementation for the probability

Let A\, A2, and A3 be events defined on some specific sample space S. Find expressions involving only union, intersection, and complementation for the probability that:

(a) exactly two of Ai, A2, A3 occur simultaneously

(b) at least two of Ax, A2, A3 occur simultaneously

(c) at most two of the events Ai, A2, A3 occur simultaneously.

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