# Wandering Sammy

Sammy is lost and starts to wander aimlessly. Each minute, he walks one meter forward with probability $$\frac{1}{2}$$, stays where he is with probability $$\frac{1}{3}$$, and walks one meter backward with probability $$\frac{1}{6}$$. After one hour, what is the expected value for the forward distance (in meters) that Sammy has traveled?

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