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Which of the following statements is true? If a statement is true, prove it. If it is false, give a counterexample. (a) If P(A)+

Which of the following statements is true? If a statement is true, prove it. If it is false, give a counterexample. (a) If P(A)+ P(B) + P(C) = 1, then the events A, B, and C are mutually exclusive. (b) If P(AUBUC) = 1, then A, B, and C are mutually exclusive events.

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