A biased coin is tossed repeatedly. Each time there is a probability p of a head turning up. Let Pn be the probability that an even number of heads has occurred after n tosses (zero is an even number). Show that po = 1 and that pn = p(1-Pn-1)+(1-P) Pn-1 if n ≥ 1. Solve this difference equation.

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