Question: 58. A collection of n coins is flipped. The outcomes are independent, and the ith coin comes up heads with probability i , i =

58. A collection of n coins is flipped. The outcomes are independent, and the ith coin comes up heads with probability αi , i = 1, . . . , n. Suppose that for some value of j, 1 j n, αj = 12

. Find the probability that the total number of heads to appear on the n coins is an even number.

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