Solved: There are 100 equally spaced points around a circle at 99, Basic Statistics

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There are 100 equally spaced points around a circle at 99

Question: 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 counter clockwise by 1 point. If there is a sheep at that point, he eats it. The sheep don't move. What is the probability that the sheep who is initially opposite the wolf is the last one remaining?

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Basic Statistics: There are 100 equally spaced points around a circle at 99

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