You have 3 books B1,B2,B3 that you keep on a shelf. You frequently choose one of them to read.
You choose B1 with probability 1/2 , and choose each of B2,B3 with probability 1/4. After you have finished with a book, you return it to the left position on the shelf. Regard this as a Markov chain whose state space consists of the 3! possible orderings of your books on the shelf.
(a) Determine the transition matrix for this Markov Chain.
(b) Determine its stationary distribution.