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Suppose the moves are based on throws of a regular die. A move ahead of 4 spaces can be achieved by for moves of 1 each, two of 1 and one of 2, one of 1 and one of 3, two of 2 or one of 4. So the probability of these outcomes is

(1/6)4 + 3*(1/6)3 + 2*(1/6)2 + (1/6)2 + (1/6) = 0.2647 approx.

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Q: What is the probability if you want to move ahead 4 spaces on the board?
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