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Mathematics, 28.08.2020 22:01 percent74

A particle moves among k+1 vertices (0,1,…,k) that are situated on a circle in the following manner. At each step, it moves one vertex in a clockwise direction with probability p or one vertex in a counterclockwise direction with probability 1–p (or q). Starting in state 0, what is the probability that we visit all the other states before we return to 0?

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