Question: A biased coin shows heads with probability p = 1 q whenever it is tossed. Let un be the probability that, in n tosses,

A biased coin shows heads with probability p = 1 − q whenever it is tossed. Let un be the probability that, in n tosses, no two heads occur successively. Show that, for n ≥ 1, un+2 = qun+1 + pqun , and find un by the usual method (described in Appendix B) when p = 2 3

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