A flea moves around the vertices of a triangle in the following manner: Whenever it is at vertex i it moves to its clockwise neighbor vertex with probability and to the counterclockwise neighbor with probability q,- = 1 P,-, i: 1, 2, 3. (a) Find the proportion of time that the flea is at each of the vertices. (b) How often does the flea make a counterclockwise move that is then followed by five consecutive clockwise moves