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I've just joined here and I'm doing some revision on conditional probability. This one question, which I know should be simple, has me stumped. I've tried what I can think of but I can't seem to get it right. Any help anyone may have would be very much appreciated.

Suppose A and B are events and dene the new event C to occur if and only if

exactly one of A or B occur. Show algebraically, using only the probability axioms and

properties, and basic set-theoretic results given in the lectures, that

Pr(C) = Pr(A) + Pr(B) - 2Pr(A n B)

Thank you

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# Homework Help: Probability question I can't work out

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