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

[Dave Britten]

(06-15-2015 11:52 PM)Thomas Klemm Wrote:  It's much easier to use lists:

Code:

\<< DUP
    1 5 START
        { 0 } SWAP +
        SWAP 0 +
        OVER ADD SWAP
    NEXT
    DROP
\>>

Start with this list:

{ 1 1 1 1 1 1 }

Repeat the program above 8 times.
To get the coefficient of \(x^{22}\) use:

14 GET

That's because 14 = 22 - 9 + 1 and the list is symmetric.

HTH
Thomas

Thanks Thomas, that looks like a good trick for dealing with pools of standard six-sided dice. Not sure if that can be applied to multiplication of arbitrary polynomials, i.e. pools of non-uniform, non-standard dice with any number of sides. I may end up having to use the matrix approach there and just multiply the polynomials, collect terms, etc.