A coin has probability p of showing head...

A coin has probability p of showing head when tossed. It is tossed n times. Let `P_(n)` denote the probabilty that no two (or more) consecutive heads occur. Prove that `P_(1) = 1, P_(2) = 1 - P^(2) and P_(n) = (1 -P) P_(n-1) + P(1 - P) P_(n-2)` for all `n ge 3`.

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