There are 100 equally spaced points around a circle. At 99 of the points, there are

Chapter 2, Problem 47

(choose chapter or problem)

There are 100 equally spaced points around a circle. At 99 of the points, there are sheep, and at 1 point, there is a wolf. At each time step, the wolf randomly moves either clockwise or counterclockwise by 1 point. If there is a sheep at that point, he eats it. The sheep dont move. What is the probability that the sheep who is initially opposite the wolf is the last one remaining?

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