A Markov chain has transition matrix 0 0 0 0 0 1 0 0 P = 0.2 0.2 0.1 0.1 0.4 0.5 0.2 0 0.3 0 0 0 0.5 0.5 where the states are ordered A, B, C, D. E. If the process is currently in State E, what is the probability it will eventually enter State B? Use the fact that the inverse of 0.9 -0.1 -0.4 0 0.7 0 -0.5 -0.5- 1 10/7 30/49 4/7 is 0 10/7 0 5/7 50/49 9/7 State your answer as a reduced fraction