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Use the total probability formula to answer each of the following. A, B and C are events, with complementary events denoted by as per

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Use the total probability formula to answer each of the following. A, B and C are events, with complementary events denoted by " as per usual course notation. i. If P(A | B) = P(A | BC), show that A and B are independent. ii. If P(A | C) > P(B | C) and P(A | Cc) > P(B | Cc), show that P(A) > P(B)

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