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If A1,A2,A3,......A1006 are independent events such that P(Ai)=12i, where i=1,2,3.....1006 and the probability that none of the events occurs is α!2α(β!)2, then the value of α+β is

Answer» If A1,A2,A3,......A1006 are independent events such that P(Ai)=12i, where i=1,2,3.....1006 and the probability that none of the events occurs is α!2α(β!)2, then the value of α+β is


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