Suppose that the streets of a city are laid out in a grid with streets running

Chapter 2, Problem 2.181

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Suppose that the streets of a city are laid out in a grid with streets running northsouth and eastwest. Consider the following scheme for patrolling an area of 16 blocks by 16 blocks. An officer commences walking at the intersection in the center of the area. At the corner of each block the officer randomly elects to go north, south, east, or west. What is the probability that the officer will a reach the boundary of the patrol area after walking the first 8 blocks? b return to the starting point after walking exactly 4 blocks?

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