If I have 3 fair 6 sided dice, and 1 throw consists of rolling all 3 of them, how do I extrapolate the distribution of roll values of each individual die for a specific sum from the distribution of roll values of each individual die from a specific sum. The wording is a bit messy so I'll explain further.
I have calculated the distribution of 1,2,3,4,5,6s (possible dice values) for the throws which sum to 10. From this distribution, how could I extrapolate for the distribution of lets say 11. Could I extrapolate all the way to 18?
