There are three balls in the bag, Blue(B), Green(G), Red (R). Every balls were picked by equal probability and when it was picked, returns it to the bag on the right of the other two balls. Let X_n denote the ordering of the balls on time n. 1. Show that (X_n)n is a Markov chain and show that it is irreducible and aperiodic. 2. Obtain the steady-state probabilities for this chain.
There are three balls in the bag, Blue(B), Green(G), Red (R). Every balls were picked by equal probability and when it was picked, returns it to the bag on the right of the other two balls. Let X_n denote the ordering of the balls on time n. 1. Show that (X_n)n is a Markov chain and show that it is irreducible and aperiodic. 2. Obtain the steady-state probabilities for this chain.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 9EQ
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