Hey, I was trying to model a system that would calculate the probabilities of moves in a game, but was stumped by one thing so I thought I'd turn it into an exam type question:

If Julie has 4, 8 sided dice; and Hasish has 3, 8 sided dice, what is the probability that when they both roll their dice, the sum of Julie's dice is greater?

If I roll $\displaystyle x$, 8 sided dice; what is the probability that the sum of $\displaystyle y$ 8 sided dice is greater?

^^I'm hoping there isn't a ridiculously simple answer to it, but there may well be as I'm knackered at the moment.

Also I was wondering, does anyone have any real life applications of the normal (or Gaussian) distribution, and what type of things can be modelled with it?

Thanks!