A Markov chain has three states, A, B, and C. The probability of going from state A to state B in one trial is 1. The probability of going from state B to state A in one trial is .5, and the probability of going from state B to state C in one trial is .5. The probability of going from state C to state A in one trial is 1.
In Problem, use the given information to draw the transition diagram and find the transition matrix.