I'm not sure I understand what you're saying. The total t must be in the range [n, ns]. I am aware of the idea that it would probably converge to a normal distribution, but for {1 \over {\sqrt{2\pi\sigma^2}}} e^{-{{\left((x-{n(s+1) \over 2})-\mu\right)^2} \over {2\sigma^2}}}, what would \sigma...
The general problem I'm trying to solve is the probability of rolling a total t on n s-sided dice. A good chunk of the problem is easy enough, but where I run into difficulty is this:
How many combinations of dice will yield a sum total of t? Because the number set is limited, {a \choose n-1}...