Quote:
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Magic: 10% chance of their element 10 times
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Chance for magic levels, rounded to 1 decimal until 5, from where rounded to show how small the chances get:
0: 34.9%
1: 38.7%
2: 19.4%
3: 5.7%
4: 1.1%
5: 0.015%
6: 0.0014%
7: 0.000087%
8: 0.0000036%
9: 0.000000009%
10: 0.0000000001%
Gotten with following formula: (0.9^(10-X)*0.1^X)*(10CX) where X is the level of path and C is symbol for combination.
So they aren't very special mages really. They're actually really crap as casters, seeing how almost three quarters of them have 0 or 1 levels of a path.
6 chances of 30% would result in:
0: 11.8%
1: 30.3%
2: 32.4%
3: 18.5%
4: 5.9%
5: 1%
6: 0.007%
As a general rule, whatever amount of chances of 50% will result in the most common amount being the median, ie the most central value, of the possibilities. Like 2 and 3 in 5 chances of 50%. Chances under 50% will result in the most common value being closer to the start of the probability distribution. Like we see, upping the chance from 10% to 30% and lowering the maximum amount of picks results in the most common result rising slightly.