5. A Markov chain Xo, X1, ... with state space S = {0, 1, 2} has transition probability matrix 0.1 0.3 0.6 P = 0.7 0.2 0.1 0.2 0.3 0.5 and initial distribution P(Xo = 0) = 0.4, P(Xo = 1) = 0.5, and P(Xo = 2) = 0.1. Compute the probability P(Xo = 0, X1 = 1, X2 = 2)