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posted by  fatboyspin on 10/13/2008 11:26:59 AM  |  status: Live  

# of coin flips

Course Textbook Chapter Problem
Data Modeling Introduction to Probability Models (9th) by Ross 3 27E
Question Details:
Question 27: A coin that comes up heads with probability p is continually flipped until the pattern {T, T, H}appears. (That is,  you stop flipping when the most recent flip lands heads, and the two immediately preceding it lands tails). Let X denote the number of flips made, and find E[X].

In the solution on cramster Y is defined as four possibilities. Why are these four chosen? If coin flips are grouped in three there are 23 = 8 combinations that are not used. Which is a point of uncertainty to me.

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