prob table, with 1-sided dice
def/att 2 3 4 5 6 7 8
1 100.0 100.0 100.0 100.0 100.0 100.0 100.0
2 0.0 100.0 100.0 100.0 100.0 100.0 100.0
3 0.0 0.0 100.0 100.0 100.0 100.0 100.0
4 0.0 0.0 0.0 100.0 100.0 100.0 100.0
5 0.0 0.0 0.0 0.0 100.0 100.0 100.0
6 0.0 0.0 0.0 0.0 0.0 100.0 100.0
7 0.0 0.0 0.0 0.0 0.0 0.0 100.0
8 0.0 0.0 0.0 0.0 0.0 0.0 0.0

that doesnt look nice:

look i calculated for you the propabilities page for various n-sided dice.

http://kdice.wikispaces.com/prob+variances

You will see that exect of "1-sided dice" it does not make much difference for kdice!

e.g. the table for 6-sided dice and 18-sided dice are pretty much the same.

I wonder how the the table for "infinite sided" dices would look.

However I'm not smart enough to properly insert lim n->inifite into that equations...

Is a one-sided die a mobius?

Speaking of mobii... How many colors are needed to color a map on a mobius?

You need to try max 2 (or 1) dice per land before trying 1-sided die ;)

(Maths geekery warning)

For an infinite sided dice you'd have to put a non-uniform probability distribution (like Poisson) on the numbers, and different distributions would give different results.

Another alternative would be to use 'dice' which give a real number uniformly distributed between 0 and 1.

It's not that surprising that the probabilities are similar for different sizes of dice... by the central limit theorem you can approximate the result of adding lots of independent random variables (like dice throws) by a normal distribution, and this approximation gets better the more dice you'd throw at once.