Problem 2. {10 pts.) Non-transitive dice. In class we worked with nontransitive dice: Red: 3 3 3 3 3 6; Green: 1 4 4 4 4 4; TWhite: 2 2 2 5 5 5. Finish making your nontransitive dice. (a) In class you found the probability that red beats white. Find the probability that white beats green and the probability that green beats red. Can you line the dice up in order from best to worst? (Hint: this is why these are called 'non transitive1 .) (b) Suppose you roll two white dice against two red dice. What is the probability that the sum of the white dice is greater than the sum of the red dice? For hints on this problem and ways to make money with your dice, watch at least the rst six minutes of the following video