Calculating odds of rolling a given total with a specified number of dice

[Thomas Klemm]

(06-15-2015 03:25 PM)Dave Britten Wrote:  And for extra fun, I'm also wondering if such a formula could be extended to rolling a pool of non-standard, mixed dice, e.g. maybe three of them numbered 0, 0, 0, 1, 2, 3, two numbered 0, 0, 1, 2, 2, 3, and one with 0, 0, 1, 2, 3, 4.

CoefficientList[(3+x+x^2+x^3)^3 (2+x+2 x^2+x^3)^2 (2+x+x^2+x^3+x^4), x]

In this case it appears that 7 is the most probable total.

Cheers
Thomas