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Author Topic: [tsoy] bonus dice statistical impact?  (Read 4023 times)
Rustin
Member

Posts: 91


« on: April 02, 2007, 01:54:54 PM »

So with 3dF you have a 3.7% chance of getting a 3, an 11.11% of getting a 2, a 22.22 of getting a 1 and a 62.96% chance of getting  0.

How do the odds change with 1 bonus die? 2 bonus die? 3 bonus die etc...

Are these tables available somewhere? I just don't have the mathematical/statistical chops to figure it out. (or i'm just really lazy and my google skills failed me).
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Hans
Member

Posts: 576


« Reply #1 on: April 02, 2007, 02:13:12 PM »

It looks like crap, but here is the cut and paste from my own Excel spreadsheet, available on request.

   Base Roll   +1 Bonus   +2 Bonus   +3 Bonus   -1 Penalty   -2 Penalty   -3 Penalty

3   4%   11%   21%   32%   1%   0%   0%
2   11%   22%   29%   31%   5%   2%   1%
1   22%   27%   27%   23%   12%   6%   3%
0   26%   21%   15%   10%   21%   15%   10%
-1   22%   12%   6%   3%   27%   27%   23%
-2   11%   5%   2%   1%   22%   29%   31%
-3   4%   1%   0%   0%   11%   21%   32%


Untrained                     
0   63%   40%   23%   14%   81%   91%   96%
1   22%   27%   27%   23%   12%   6%   3%
2   11%   22%   29%   31%   5%   2%   1%
3   4%   11%   21%   32%   1%   0%   0%
   37%   60%   77%   86%   19%   9%   4%
Trained                     
0   37%   19%   9%   4%   60%   77%   86%
1   26%   21%   15%   10%   21%   15%   10%
2   22%   27%   27%   23%   12%   6%   3%
3   11%   22%   29%   31%   5%   2%   1%
4   4%   11%   21%   32%   1%   0%   0%
   63%   81%   91%   96%   40%   23%   14%
Expert                     
0   15%   6%   2%   1%   33%   50%   63%
1   22%   12%   6%   3%   27%   27%   23%
2   26%   21%   15%   10%   21%   15%   10%
3   22%   27%   27%   23%   12%   6%   3%
4   11%   22%   29%   31%   5%   2%   1%
5   4%   11%   21%   32%   1%   0%   0%
   85%   94%   98%   99%   67%   50%   37%
Master                     
0   4%   1%   0%   0%   11%   21%   32%
1   11%   5%   2%   1%   22%   29%   31%
2   22%   12%   6%   3%   27%   27%   23%
3   26%   21%   15%   10%   21%   15%   10%
4   22%   27%   27%   23%   12%   6%   3%
5   11%   22%   29%   31%   5%   2%   1%
6   4%   11%   21%   32%   1%   0%   0%
   96%   99%   100%   100%   89%   79%   68%
Grand Master                     
1   4%   1%   0%   0%   11%   21%   32%
2   11%   5%   2%   1%   22%   29%   31%
3   22%   12%   6%   3%   27%   27%   23%
4   26%   21%   15%   10%   21%   15%   10%
5   22%   27%   27%   23%   12%   6%   3%
6   11%   22%   29%   31%   5%   2%   1%
7   4%   11%   21%   32%   1%   0%   0%
   100%   100%   100%   100%   100%   100%   100%
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Hans
Member

Posts: 576


« Reply #2 on: April 02, 2007, 02:14:02 PM »

The last line in each section above is the overall chance of greater than a zero result, btw.
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