Let A and B be two events of a sample space. If the probability that both of them occur is p₁ and the probability that none of them occurs is p2, then the probability that exactly one of them occurs is Hint: Notice that the probability that exactly one of A or B occurs is given by Prob [(An Bc) U (B ^ Aº)] = Prob(A^ Bº) + Prob(B ^ Aª). To solve, express the two probability values on the right-hand side of this equality in terms of Prob(A), Prob(B), and Prob(An B). a. 1- P1 P2 b. 1+ p₁-3p2 c. 1- P1P2 d. p₁(1 - P2) e. p₂(1-P₁) f. None
