Repeat Problem 67 if the exit from room B to room R is
Problem 67
A rat is placed in room for room B of the maze shown in the figure. The rat wanders from room to room until it enters one of the rooms containing food, L or R. Assume that the rat chooses an exit from a room at random and that once it enters a room with food it never leaves.
(A) What is the long-run probability that a rat placed in room B ends up in room Rl
(B) What is the average number of exits that a rat placed in room B will choose until it finds food?