Harliquinn wrote:
Not sure what you're saying. I was indicating that to compute the probability of beating a specific TN with an Action Roll (2d10 + dX), I enumerated all the possibilities. Otherwise, the calculation gets too messy and used summations, etc. Exploding dice throws a wrench in the works
John
John,
Found these links...
This (
http://topps.diku.dk/torbenm/troll.msp) is a tool that can run dice simulations
and compute statistical probabilities for complex dice rolls. Try using this as the die roll formula
Code:
sum (accumulate y:=d6 while y=6) + sum (2d10)
This will roll 2d10 plus an exploding d6. If you click on the calculate probabilities button you'll get a histogram of results.
This was written by Torben Mogensen, a CS professor at DIKU. He also wrote a 29-page paper, "Dice Rolling Mechanisms in RPGs," (
http://www.diku.dk/hjemmesider/ansatte/torbenm/Troll/RPGdice.pdf)in which he discusses many of the dice rolling mechanisms implemented by Troll and some of the mathematics behind them. If you read section 3.4, "Open ended rolls" you'll see a formula to calculate the average of an exploding die.
Hope you find it useful!
Scott