Two players take turns shooting at a target, with each shot by player i hitting the target with probability pi, i=1,2. Shooting ends when two consecutive shots hit the target. Let , denote the mean number of shots taken when player i shoots first, i = 1,2.

(a) Find , and .

(b) Let h, denote the mean number of times that the target is hit when player i shoots first, i = 1, 2.

Find h, and h.