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OpenStudy (anonymous):
3a) Suppose that P(A ∩ B ∩ C) = P(A) P(B) P(C) P(A ̅ ∩ B ∩ C) = P(A ̅) P(B) P(C) P(A ∩ B ̅ ∩ C) = P(A) P(B ̅) P(C) P(A ∩ B ∩ C) = P(A) P(B) P(C ̅) Prove that A B and C are independent. 3b) Suppose that A B and C are independent. Then so are A ̅ B ̅ and C.
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