One person has 3 dollars to gamble; each time he uses only one dollar, the probability is 60% to lose and 40% to win. If he accumulates 5 dollars or loses 3 dollars, he will stop the gamble. Using transition matrix to estimate how many times he will play to finish the gamble. What is the probability to finish the gamble(get $5 or $0) You will have to provide the following answers:
a. Chart of the markov chain and transition matrix
b. How many times to finish the gamble
c. Probability to finish the gamble