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 \((e_1,e_2)\).
NOTE: It's not (2,3) or (2,4)
