| Paradigm Concepts http://paradigmconcepts.com/forums/ |
|
| Exploding Dice Maths http://paradigmconcepts.com/forums/viewtopic.php?f=56&t=485 |
Page 1 of 2 |
| Author: | SamhainIA [ Mon Dec 30, 2013 5:36 pm ] |
| Post subject: | Exploding Dice Maths |
Some one already did it yay! So what this is say when calculating the values for averages in exploding dice the average value is equal to the Die's average value (one half of the die's highest value + one eg a D6 is 3.5) Multiplied by N/(N-1) Where N is the Die type: ((N+1)/2) (N/(N-1)) A listing for reference: D4 = 3.33333333333333 D6 = 4.2 D8 = 5.14285714285714 D10 = 6.11111111111111 D12 = 7.09090909090909 OR D4 = 3 & 1/3 D6 = 4 & 1/5 D8 = 5 & 1/7 D10 = 6 & 1/9 D12 = 7 & 1/11 edit for formula |
|
| Author: | Harliquinn [ Mon Dec 30, 2013 6:04 pm ] |
| Post subject: | Re: Exploding Dice Maths |
I've always just used an approximation of the Average on the Die + .5. Glad to see that it's very close to the actual numbers. I may try to build these in to my Spreadsheet of Calculations. John |
|
| Author: | SamhainIA [ Mon Dec 30, 2013 6:29 pm ] |
| Post subject: | Re: Exploding Dice Maths |
its but more than the averages if you take a second look, its most significant for smaller dice the average of 3d4 non exploding is 7.5, and the average of exploding 3d4 is 10 |
|
| Author: | Harliquinn [ Mon Dec 30, 2013 6:53 pm ] |
| Post subject: | Re: Exploding Dice Maths |
Yeah you have a good point for the d4 and to a lesser extent the d6. Most of the rest are approximated by average + .5. I'll try to use one significant digit in my calculations spreadsheet. Though there's probably not a lot of people with d4 stats  John |
|
| Author: | SamhainIA [ Mon Dec 30, 2013 7:46 pm ] |
| Post subject: | Re: Exploding Dice Maths |
the average number is off by at least .5 in every die type D4 = 3 & 1/3 VS 2.5 D6 = 4 & 1/5 VS 3.5 D8 = 5 & 1/7 VS 4.5 D10 = 6 & 1/9 Vs 5.5 D12 = 7 & 1/11 Vs 6.5 but if your going to use the numbers in the first one then you should be fine |
|
| Author: | wilcoxon [ Mon Dec 30, 2013 7:50 pm ] |
| Post subject: | Re: Exploding Dice Maths |
SamhainIA wrote: the average number is off by at least .5 in every die type I'm pretty sure his averages are using exploding dice (2.5 is the avg for non-exploding d4 but 3.33 is the avg for exploding d4)... |
|
| Author: | Harliquinn [ Mon Dec 30, 2013 7:56 pm ] |
| Post subject: | Re: Exploding Dice Maths |
My current spreadsheet uses straight averages. I'll build in the 'exploding averages' for the ability score dice rolls in my sheet. I'll use the calculated values above rounded to 1 significant digit after the decimal point. Thanks for finding the site for those. John |
|
| Author: | SamhainIA [ Mon Dec 30, 2013 7:58 pm ] |
| Post subject: | Re: Exploding Dice Maths |
oh i cant open his sheet from home, it sounded like he didnt see the difference between avg and explode on higher dice |
|
| Author: | Harliquinn [ Mon Dec 30, 2013 8:00 pm ] |
| Post subject: | Re: Exploding Dice Maths |
SamhainIA wrote: oh i cant open his sheet from home, it sounded like he didnt see the difference between avg and explode on higher dice Nope I do. I was just saying that for a 'ball park' I've always considered the average of an exploding die to be the "regular Average + .5". Which is pretty close for d6 and above. john |
|
| Author: | SamhainIA [ Mon Dec 30, 2013 8:05 pm ] |
| Post subject: | Re: Exploding Dice Maths |
ahh i didnt understand you at all there gotcha now |
|
| Page 1 of 2 | All times are UTC - 5 hours |
| Powered by phpBB © 2000, 2002, 2005, 2007 phpBB Group http://www.phpbb.com/ |
|