2018 AIME I Problem 12
For every subset of , let be the sum of the elements of , with defined to be . If is chosen at random among all subsets of , the probability that is divisible by is , where and are relatively prime positive integers. Find .
Leading zeroes must be inputted, so if your answer is 34
, then input 034
. Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.
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