2018-18 A random walk on the clock

Suppose that we are given 12 points evenly spaced on a circle. Starting from a point in the 12 o’clock position, a particle P will move to one of the adjacent positions with equal probably, 1/2. P stops if it visits all 12 points. What is the most likely point that P stops for the last?

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2018-18 A random walk on the clock, 4.1 out of 5 based on 10 ratings