• Problem 1: Consider the maze shown below. There are three cells (Cell 1, Cell 2, and Cell 3) and two permanent outcome
Posted: Wed May 11, 2022 4:45 pm
• Problem 1: Consider the maze shown below. There are three cells (Cell 1, Cell 2, and Cell 3) and two permanent outcomes (Cheese heaven, and chased by a cat). A mouse is initially placed in Cell 1. When the mouse enters cell i, he wanders around within the cell for X; minutes, where X, is uniformly distributed between 0 and 3 minutes, and then exits the cell by picking one of the doors at random (eg. if there are three doors, the mouse picks each with probability 1/3). Find the probability the mouse gets the cheese. 1 2 3