Dice analysis paper, Is this overkill yet? Options

[Ellery]

A friend of mine from my old gaming groups has demonstrated what happens when you put physicists around a new dice system. On this board, I think we've talked about almost everything that's in the PDF there, but someone besides me might also be interested in his fixed TN dice analysis.

There were a couple of surprises for me (if you can get past all the math). One is that our good old karmic reroll is really just a dice-heavy way of changing the target number; another is how hard it is to be assured of victory in an opposed test no matter how many or few dice you have, and whether or not the dice explode. There's also a graph showing how many times you have to roll the dice when you're using exploding dice, which I guess answers the question of how much rerolling there will be with exploding dice.

Also, the pictures on page 11 are really pretty, even if I don't quite understand what they mean.