Every day, Eric takes the same street from his home to the university. There are 4 street lights along hisway, and Eric has noticed the following Markov dependence. If he sees a green light at an intersection, then 60% of time the next light is also green, and 40% of time the next light is red. However, if he seesa red light, then 75% of time the next light is also red, and 25% of time the next light is green. Let 1 ="green light" and 2 = "red light" with the state space{1,2}.

Construct the transition probability matrix for the street lights. If the first light is green, what is the probability that the third light is red?