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Suppose 100 lily pads are arranged in a circle, numbered 01 ……..99 (with pad 99 next to pad 0)….

Suppose 100 lily pads are arranged in a circle, numbered 01 ……..99 (with pad 99 next to pad 0). Suppose a frog begins at pad 0 and each second either jumps one pad clockwise, or jumps one pad counterclockwise, or stays where it is — each with probability 1­3. After doing this for a month, what is the approximate probability that the frog will be at pad 55?