Lara’s sick of playing Monopoly. It’s not so much the game itself but the dice that annoy her. "Why is 12 (double 6s) so hard to get? It’d be so much easier if all totals came up the same number of times."
Can you design two dice so that first of all only the totals 6 and 12 come up? If so, what is the probability of getting a 6 and a 12 with your dice?
Can you then design two dice so that only 6 and 12 come up and they come up equally often?