A museum owns a certain three paintings by Renoir two by Cezanne and one by monet. it has room to display only one of these painting therefore the painting on display is changed once a month .

At that time the painting on diaplay is replaced by a randomly chosen one of the five painting let E1 be *A Renoir is on display , E2 be *A Cezanne is on diaplay and E2 be *A Monet is on display Find the transition matrix for the Markov chain just described.