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| Exploding Dice Maths http://paradigmconcepts.com/forums/viewtopic.php?f=56&t=485 |
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| Author: | Harliquinn [ Mon Dec 30, 2013 8:10 pm ] |
| Post subject: | Re: Exploding Dice Maths |
Because I had to enumerate the dice rolls on Action Dice, there's no good way to build in the calculated values above for Action Rolls. However, I might be able to fudge it. For instance, it's impossible to roll a '4' on a d4 Attribute, since rolling a 4 requires you to re-roll and the minimum you get is 5. Therefore, if I change the expected value of the maximum roll for each die type to the Maximum Value + Average Value (With Exploding), that might give a more accurate result. It's way too much enumeration to include the exploding die results as well since it's limitless. Will see how it goes. John |
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| Author: | SamhainIA [ Mon Dec 30, 2013 8:37 pm ] |
| Post subject: | Re: Exploding Dice Maths |
paying more attention to maximum damage is kinda dangerous, even with out exploding dice 2d6 = 7, where 1d12 = 6.5 |
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| Author: | Harliquinn [ Mon Dec 30, 2013 8:46 pm ] |
| Post subject: | Re: Exploding Dice Maths |
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 |
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| Author: | SamhainIA [ Wed Jan 01, 2014 4:23 pm ] |
| Post subject: | Re: Exploding Dice Maths |
added a some more stuff to the spread sheet |
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| Author: | DeadZone [ Fri Jan 03, 2014 2:46 pm ] |
| Post subject: | Re: Exploding Dice Maths |
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 |
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