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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 e1 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 1. Similarly, let e2 be expected number of steps Fred takes to get to 0 given that Fred starts at the point 2.

Determine the ordered pair (e1,e2).

 

 

The other awnsers are wrong...

 Jun 26, 2022
 #1
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\((e_1, e_2) = (4,6)\)

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 Jun 26, 2022

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