A red die has the number 1 on one face and 2 on two faces and a number 3 on three faces. Two green dice each have the number 6 on one face and number 5 on five faces. The three dice are rolled together. (a) Draw a tree diagram
(b) Using the tree diagram for calculating the probability of obtaining,
(i) 2 on the red die, 5 on the first green die and 6 on the second green die.
(ii) 3 on the red die and 6 on each of two green dices.
(iii) Exactly 2 sixes.
(iv) a sum of 12.
(v) sum divisible by 3.