When a basketball player makes a shot then he tries a harder shot the next time and hits (H)with probability 0.4 and misses (M)with probability 0.6.When he misses he is more conservative the next time and hits (H) with probability 0.7 and misses (M) with probability 0.3.

(a) Write the transition probability for the two-state Markov chain with state space {H, M}.

(b) Find the long-run fraction of time he hits a shot.