Mary's gambling luck follows a pattern. If she wins a game, the probability of winning the next game is 0.6. However, if she loses a game, the probability of losing the next game is 0.7. There is an even chance. that she wins the first game. (a) Find the transition matrix M of the Markov process. - (b) Find the probability that she wins the second game. (c) Find the probability that she wins the third game. (d) Find out how often, in the long run, she wins.