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[tsoy] bonus dice statistical impact?

Started by Rustin, April 02, 2007, 05:54:54 PM

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Rustin

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).

Hans

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%
* Want to know what your fair share of paying to feed the hungry is? http://www3.sympatico.ca/hans_messersmith/World_Hunger_Fair_Share_Number.htm
* Want to know what games I like? http://www.boardgamegeek.com/user/skalchemist

Hans

The last line in each section above is the overall chance of greater than a zero result, btw.
* Want to know what your fair share of paying to feed the hungry is? http://www3.sympatico.ca/hans_messersmith/World_Hunger_Fair_Share_Number.htm
* Want to know what games I like? http://www.boardgamegeek.com/user/skalchemist