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ake fewer flips, on average: at is until you observe two su pin until the pattern HTH appe

ake fewer flips, on average: at is until you observe two su pin until the pattern HTH appe

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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You are flipping a coin and with probability p, it is a head and with probability (1-p) it is a tail. Which will take fewer flips, on average: successively flipping a coin until the pattern HHT appears, that is until you observe two successive heads followed by tails; or successively flipping a coin until the pattern HTH appears? (Please create state definition, state space and one step transition probability matrices for both 2 cases.)
Transcribed Image Text:You are flipping a coin and with probability p, it is a head and with probability (1-p) it is a tail. Which will take fewer flips, on average: successively flipping a coin until the pattern HHT appears, that is until you observe two successive heads followed by tails; or successively flipping a coin until the pattern HTH appears? (Please create state definition, state space and one step transition probability matrices for both 2 cases.)
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