On a given vacation day, Francesco either plays golf (activity 1) or tennis (activity 2). For i = 1, 2, let X n = i, if Francesco devotes vacation day n to activity i. Suppose that{X n : n = 1,...

On a given vacation day, Francesco either plays golf (activity 1) or tennis (activity 2). For i = 1, 2, let X_n
= i, if Francesco devotes vacation day n to activity i. Suppose that{X_n
: n = 1, 2,...}is a Markov chain, and depending on which of the two activities he chooses on a certain vacation day, the probability of engagement in any one of the activities on the next vacation day is given by the transition probability matrix

Find the long-run probability that, on a randomly selected vacation day, Francesco plays tennis.