A collection of n coins is flipped. The outcomes are independent, and the ith coin comes up

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

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

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