25. Let A and B be two events. The event (A B) (B A)...

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25. Let A and B be two events. The event (A − B) ∪ (B − A) is called the symmetric difference ofAandB and is denoted byAB. Clearly, AB is the event that exactly one of the two events A and B occurs. Show that P(AB) = P(A) + P(B) − 2P(AB).

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