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Let A, B, C be three events. If the probability of exactly one event of A and B is 1 - x, out of B and C is 1 - 2x and out of A and C is 1 - x. The probability that the three events occur simultaneously is x^(2) then prove that the probability that atleast one out of A, B, C will occur is greater than (1)/(2). |
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