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he first time that two consecutive heads (HH) or two consecutive tails (TT) are observed. I win if HH is observed and lose if TT is observed. For example if the outcome is HTHTT, I lose. On the other hand, if the outcome is THTHTHH,1win. Find the probability that I win.

he first time that two consecutive heads (HH) or two consecutive tails (TT) are observed. I win if HH is observed and lose if TT is observed. For example if the outcome is HTHTT, I lose. On the other hand, if the outcome is THTHTHH,1win. Find the probability that I win.

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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Problem 9 Okay, another family-with-two-children problem. Just kidding! This problem has nothing to do with the two previous problems. I toss a coin repeatedly. The coin is unfair and P(H)= p. The game ends the first time that two consecutive heads (HH) or two consecutive tails (TT) are observed. I win if HH is observed and lose if TT is observed. For example if the outcome is HTHTT, | lose. On the other hand, if the outcome is THTHTHH,1win. Find the probability that I win.
Transcribed Image Text:Problem 9 Okay, another family-with-two-children problem. Just kidding! This problem has nothing to do with the two previous problems. I toss a coin repeatedly. The coin is unfair and P(H)= p. The game ends the first time that two consecutive heads (HH) or two consecutive tails (TT) are observed. I win if HH is observed and lose if TT is observed. For example if the outcome is HTHTT, | lose. On the other hand, if the outcome is THTHTHH,1win. Find the probability that I win.
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