A symmetric random walk takes place on the integers 0, 1, 2, ..., N with absorbing barriers at 0and N, starting at k. Show that the probability that the walk is never absorbed is zero.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A symmetric random walk takes place on the integers 0, 1, 2, ..., N with absorbing barriers at 0 and N, starting at k. Show that the probability that the walk is never absorbed is zero.