11. Two rats are put in separate mazes. There is some cheese at the end of each maze. The mazes are simple where only one path leads to cheese. The first maze has three paths, of which two are dead ends, and the second maze has four paths, of which three are dead ends. The rats move at the same speed, and all seven paths are the same length. Each rat decides randomly which path to take first, with equal chance of taking each path in the maze. If the path leads to the dead end, the rat goes back to the starting point (at the same speed), and picks one of the remaining paths at random, with equal chance of taking each of the untrodden paths in its maze. This continues until each rat finds the cheese in the maze. The rats behave independently. What is the chance (probability) that the rat in the first maze (3 paths) find cheese faster than the rat in the second maze (4 paths)? [5 marks) Pg. 13 of 13