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A drunk leaves the pub. There is an exactly 50:50 probability that he will lurch to the left or to the right. On planting his feet, there is again the same probability that he will lurch one way or the other. This is a classic example of a random walk. It's duplicated in lots of other random patterns, like Brownian Motion, where a pollen grain is pushed about by random collisions with water molecules, themselves undergoing random motion. Put simply, the outcome or destination of a random movement cannot be predicted accurately, except with a large number of determinations treated statistically.

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