Wandering Sammy

Probability 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?