Probability Basicshard
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For three events AA, BB, and CC, the probabilities of individual events are P(A)=P(B)=P(C)=0.4P(A) = P(B) = P(C) = 0.4. The pairwise intersection probabilities are P(AB)=P(BC)=P(AC)=0.15P(A \cap B) = P(B \cap C) = P(A \cap C) = 0.15, and the probability of all three occurring is P(ABC)=0.05P(A \cap B \cap C) = 0.05. Find the probability that exactly one of these three events occurs.