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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