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Let's consider some mutually independent biased coin flips. Let Ai = {Flip i is heads). {Ai} i=1 are mutually independent with P [Ai] =

Let's consider some mutually independent biased coin flips. Let Ai = {Flip i is heads). {Ai} i=1 are mutually independent with P [Ai] = 1 (i + 1) for all i E {1, 2, 3, ...). (a) Find the probability that the first N flips are heads. (b) Find the probability that at least one of the first N flips is heads. "

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