3.2 Let P(A) = P(B) = 2p and let P(A ∪ B) = 3p. Which of the following
are always true?
(A) p = 0
(B) A and B are independent
(C) P((A ∩ B)c) = 1 − p
(D) A and B are mutually exclusive
(E) none of the above.

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