It is tossed n times. Let `P_n` denote the probability 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 leq 3`.

A coin has probability p of showing head when tossed. It is tossed n times. Let P_n denote the probability 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 geq 3 .

A coin has probability p of showing head when tossed. It is tossed n times. Let P_n denote the probability 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 geq 3 .

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 .

Find n if : ""^(2n+1) P_(n-1) : ""^(2n-1) P_n = 3: 5

If ^(2n+1)P_(n-1):^(2n-1)P_(n)=3:5, find n

Let P(n) denotes the statement n^3+(n+1)^3+(n+2)^3 is a multiple of 9 Prove that P(1) is true

If .^(2n+1)P_(n-1): .^(2n-1)P_(n)=3:5 , find n.

Let P(n) denote the statement that n^(2)+n is odd. It is seen that P(n) = P(n + 1). P(n) is true for all.

Let P(n) denote the statement that n^(2) +n is odd. It is seen that P(n) rArr P(n+1), P(n) is true for all