Another rgood one on prob

JEE Main 2015 Sample Questions › Algebra questions › Another rgood one on prob

A coin has probability p of showing head when tossed.It is tossed n times.Let p_n denote the probablity that no two(or more) consecutive heads appear.

Prove taht p_n=(1-p)p_n-1 +p(1-p)p_n-2 for nâ‰¥3

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msp ·2009-09-16 05:27:29

we have two cases that is

1) when the last outcome is head then the outcome of the n-1 th toss shud be a tail and then we shudnt have ne consecutive heads or tails from 1 to n-2 th toss

2)when the last outcome is a tail then we shud have no consecutive heads in previous tosses

P(A)=p(1-p)p_n-2+(1-p)p_n-1

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Another rgood one on prob

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