Wandering Sammy

Probability Level 1

Sammy is lost and starts to wander aimlessly. Each minute, he walks one meter forward with probability 12\frac{1}{2}, stays where he is with probability 13\frac{1}{3}, and walks one meter backward with probability 16\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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