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.
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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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