Nonstandard dice can produce interesting distributions of outcomes. you have two balanced, six-sided dice. one is a standard die
, with faces having 1, 2, 3, 4, 5, and 6 spots. the other die has three faces with 0 spots and three faces with 6 spots. what are the possible values for the total number of spots y on the up-faces when you roll these two dice?
One die can show the values 1-6, while the other die can only show 0 or 6. So the possible totals are 1 through 6 plus 0 and 1 through 6 plus 6. Written out, one-by-one, this gives:
1+0 = 1
2+0 = 2
3+0 = 3
4+0 = 4
5+0 = 5
6+0 = 6
1+6 = 7
2+6 = 8
3+6 = 9
4+6 = 10
5+6 = 11
6+6 = 12</span>