Sorcerer Dice Mechanic, Examined

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Paiku:
Thanks everyone for your comments.

Ron, that the ties would have the same distribution of results as the set of all rolls was an assumption of mine, a simplification really.  I haven't proven it.  Come to think of it, the distribution would have the same shape, but the tails would be shorter.  Oh well, like I said, an approximation.  I'd like to see the ties resolved properly too, but I'm approaching the limits of my analytical probability and numerical analysis chops!  Eero?  Anyone else?  If anyone wants my spreadsheet to work with, let me know and I'll post it.

Here are the results of the simulation run again for 11 vs 5 dice and 5 vs 2 dice.

11 vs 5 dice:

1.25 Mean
24.38%   Sorcerer Successes
75.62%   Demon Successes
16.71%   Binding >=4
27.97%   Binding >=3
53.59%   Binding >=2



5 vs 2 dice:

1.18 Mean
24.72%   Sorcerer Successes
75.28%   Demon Successes
10.93%   Binding >=4
25.97%   Binding >=3
49.54%   Binding >=2



I should say that 1000 rolls isn't really enough.  The results above change significantly every time I re-calculate.  I'd extend it to 10,000 rolls, but I need to sleep...

Oh, and I've started a separate thread to discuss the problem that led me to examine large asymmetric Binding rolls in the first place...  Elric, Demon Lords and Sorcery. Modeling it all.

Cheers,
-John

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