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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 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)

 

I know that this question has already been posted but the answer was wrong 

 Aug 1, 2020
 #1
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(e_1,e_2) works out to (5,7).

 Aug 1, 2020
 #2
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this is also wrong

Guest Aug 1, 2020
 #3
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Look at https://web2.0calc.com/questions/probability-question_35#r5

 Aug 1, 2020

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