12 Let A and B b two events. The event (AB) U (BA) is called the symmetric...

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12 Let A and B b two events. The event (AB) U (BA) is called the symmetric difference of A and B and is denoted by AA B. Clearly, AAB is the event that exactly one of the two events A and B occurs. Show that P(AAB) = P(A) + P(B)-2P(AB).

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