Example: Two dice are rolled, which sum of the two added dice values has the greatest probability of being made?
First, where order does matter:
1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12
It's 7. [3.5(2) = 7]
Second, where order doesn't matter (I can't come up with a better way to calculate it):
2: 1,1
3: 1,2
4: 1,3 2,2
5: 1,4 2,3
6: 1,5 2,4 3,3
7: 1,6 2,5 3,4
8: 2,6 3,5 4,4
9: 3,6 4,5
10: 4,6 5,5
11: 5,6
12: 6,6
It's 6, 7, and 8. Get my question now?