Suppose there is an infinite sequence of warped coins. Suppose that for coin n i

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Suppose there is an infinite sequence of warped coins. Suppose that for coin n in the sequence, the probability of "heads" is Suppose these coins are each tossed once, in sequence (i.e. coin 1 is tossed, then coin 2 is tossed, then coin 3, and so on), and of course these tosses have no influence on each other. Compute the probability that infinitely many of the coins come up heads. (Hint For each n = 1,2,3,..let Hn denote the event that com n comes up "heads." These events are independent. One then has to compute P{Hn i.o.).)

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