5. Find the transition diagram and the initial state matrix for the following scenario: You have a six-sided dice with sides labelled: 1,1,1,2,2,3. You play a game, where you roll the dice 5 times. You win if the total sum of the rolls is divisible by 4 (ex. 1+1+2+1+3= 8 wins, but 1+1+1+1+2 = 6 loses).