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Which of the following statements is false? Briefly explain your answer. (A) If the probability of...

Which of the following statements is false? Briefly explain your answer.

(A) If the probability of A is 0.6 and the probability of B is 0.5, then A and B cannot be mutually exclusive.

(B) If the probability of A is 0.4 and the probability of B is 0.6, and if A and B are independent, then P(A and B) must be equal to 0.24.

(C) If P(A) = 0.3, P(B) = 0.6, and P(A or B) = 0.72, then A and B must be independent.

(D) If A and B are mutually exclusive, and if A and C are mutually exclusive, then B and C must be mutually exclusive.

(E) Two events that are mutually exclusive cannot be independent.

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