A state vector XX for a threestate Markov chain is such that

A state vector XX for a three-state Markov chain is such that the system is as likely to be in state 1 as in state 2 and is three times as likely to be in state 3 as in 1. Find the state vector XX.

Solution

The ratio specified here is 1:1:3.

since the sum (of probabilities) should be 1.

so the sate vector XX is = [1/5,1/5,3/5].