6.1. A rat is put into the linear maze as shown:

(a) Assume that the rat is equally likely to move right or left at each step. What is the probability that the rat finds the food before getting shocked?

(b) As a result of learning, at each step the rat moves to the right with probability p > z and to the left with probability q = 1 - p

0 shock - 1 2 3 4 5 food