Consider a knight jumping randomly on a 5 by 5 square. At each step, it picks one of the admissible moves with equal probability. Suppose that the knight starts at the centre. Find the expected time it takes for the knight to reach one of the corners.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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A4,,,,
Consider a knight jumping randomly on a 5
by 5 square. At each step, it picks one of
the admissible moves with equal
probability. Suppose that the knight starts
at the centre.
Find the expected time it takes for the
knight to reach one of the corners.
Transcribed Image Text:Consider a knight jumping randomly on a 5 by 5 square. At each step, it picks one of the admissible moves with equal probability. Suppose that the knight starts at the centre. Find the expected time it takes for the knight to reach one of the corners.
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