Jumping flea

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There are two points on the x-axis: A = 39 A=39 and B = 18 B=-18 A flea is on the 0 0 point of the x-axis. Every second the flea jumps to the right or to the left of 1 1 unit with equal probability. The flea stops when it reaches A A or B B . How many seconds it takes on average to stop?


The answer is 702.

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