A coin that has a probability p of appearing head is flipped in succession until two of the last three throws are heads. If N indicates the number of flipping activities. (Note that if the first two reversals are heads, then N = 2.)  Determine the value of E[N] = ?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A coin that has a probability p of appearing head is flipped in succession until two of the last three throws are heads. If N indicates the number of flipping activities. (Note that if the first two reversals are heads, then N = 2.) 

Determine the value of E[N] = ?

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