Question

A monkey is sitting on 0 on the real line in period 0. in every period t ∈ {0, 1, 2, . . .}, it moves 1 to the right with probability p and 1 to the left with probability 1 − p, where p ∈ [ 1 2 , 1]. let πk denote the probability that the monkey will reach positive integer k in some period t > 0. the value of πk for any positive integer k is

Answer 1

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