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Let A and B be events with A and B being their complementary events. Given P ( AB ) = P ( A B )
Let A and B be events with A and B being their complementary events. Given PAB PAB and PAB PAB prove that A and B are independent.
Note: You are to start with only what is given above then derive analytically, step by step, the end result that A and B are independent. You cannot assume an end result, which you have not proved yet, as truth and use such truth in an intermediate step as part of your proof You cannot extrapolate from a specific instance used to verify that A and B are independent and characterize such a narrow verification of limitedscope as proof of an universal truth, either.
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