Consider the following scenario: "An Uber driver provides service in city A and city B only dropping off passengers and immediately picking up a new one at the same spot. He finds the following Markov dependence. For each trip, if the driver is in city A, the probability that he has to drive passengers to city B is 0.25. If he is in city B, the probability that he has to drive passengers to city A is 0.45." Suppose he is in city B, what is the probability he will be in city A after two trips? Let the states be: 1 = "City A", and 2 = "City B". Hint: This is p(2)21, find the two step transition matrix and pick off the appropriate value.