Wandering Sammy

Discrete Mathematics Level 1

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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