Fred the ant is on the real number line, and Fred is trying to get to the point 0

If Fred is at 1 then on the next step, Fred moves to either 0 or 2 with equal probability. If Fred is at 2 then on the next step, Fred always moves to 1

Let e^1 be expected number of steps Fred takes to get to 0 given that Fred starts at the point 1 Similarly, let e^2 be expected number of steps Fred takes to get to 0 given that Fred starts at the point 2

Determine the ordered pair . (e^1,e^2)

Guest Jul 31, 2020