A gambler has Rs 2/-. He bets Re. 1 at a time and wins Re. 1 with probability 1/2. He stops playing if he loses Rs 2 or wins Rs. 4 (a) What is the tpm of the related Markov chain? (b) What is the probability that he has lost his money at the end of 5 plays? (c) What is the probability that the game lasts more than 7 plays?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 12EQ: 12. Robots have been programmed to traverse the maze shown in Figure 3.28 and at each junction...
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A gambler has Rs 2/-. He bets Re. 1 at a time and wins Re. 1 with probability
1/2. He stops playing if he loses Rs 2 or wins Rs. 4 (a) What is the tpm of the
related Markov chain? (b) What is the probability that he has lost his money at
the end of 5 plays? (c) What is the probability that the game lasts more than
7 plays?
Transcribed Image Text:A gambler has Rs 2/-. He bets Re. 1 at a time and wins Re. 1 with probability 1/2. He stops playing if he loses Rs 2 or wins Rs. 4 (a) What is the tpm of the related Markov chain? (b) What is the probability that he has lost his money at the end of 5 plays? (c) What is the probability that the game lasts more than 7 plays?
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