Dominions Dice Roll Chart

[Saber Cherry]

Mind Duel Death Rates.

Differential Rolls for Opposing 1d6 Closed:

-6 : 0.000%
-5 : 2.788%
-4 : 5.539%
-3 : 8.342%
-2 : 11.119%
-1 : 13.866%
0 : 16.628%
1 : 13.862%
2 : 11.131%
3 : 8.323%
4 : 5.595%
5 : 2.807%
6 : 0.000%

Cumulative Death Probability:

-6 :100.000%
-5 :100.000%
-4 : 97.212%
-3 : 91.673%
-2 : 83.331%
-1 : 72.212%
0 : 58.346%
1 : 41.718%
2 : 27.856%
3 : 16.725%
4 : 8.402%
5 : 2.807%
6 : 0.000%

The minor asymmetry is due to small sampling size (2,000,000) so it seems to be good to 2.5 figures.

Those are rolls for opposing 1d6. The "Cumulative" figures give a mages chance of death in a mind duel with the listed skill (ignore the plus signs). In other words, if a mage's skill is 5 lower, he always dies; 4 lower, he dies 97.2% of the time... at equal levels, each mage has a 58.3% chance of death. +5 gives you a 100% chance of killing the opponent (but you still die 2.8% of the time) and you have to be 6 levels above or higher to always win and never die.

Note that communion-induced magic levels are not displayed on the screen.

-Cherry

P.S. Alexti: Thanks for codifying your algorithm! I have not translated it to Java yet (laziness) but I probably will soon=)

[Saber Cherry]

Damage Statistics. This chart shows the average damage done for a successful hit, with this difference between attacker's strength+damage and defender's protection. In other words, row "-7" will show the average damage by a light infantry (strength 10, spear damage 3) against a Black Plate Ulm infantry (protection 20), assuming a successful hit.

Obviously, this does not take into account the fact that high fatigue levels give a chance of armor-piercing attacks.

Testing (2d6*, labelled 0-5, offset=2) over 40000000 rolls.

Average hit damage for this (strength+damage)-protection value:

-30: 0.000
-29: 0.000
-28: 0.000
-27: 0.001
-26: 0.001
-25: 0.001
-24: 0.002
-23: 0.002
-22: 0.003
-21: 0.004
-20: 0.006
-19: 0.008
-18: 0.011
-17: 0.015
-16: 0.020
-15: 0.028
-14: 0.038
-13: 0.052
-12: 0.071
-11: 0.097
-10: 0.131
-9: 0.177
-8: 0.239
-7: 0.321
-6: 0.429
-5: 0.570
-4: 0.754
-3: 0.991
-2: 1.29
-1: 1.67
0: 2.13
1: 2.67
2: 3.29
3: 3.99
4: 4.75
5: 5.57
6: 6.43
7: 7.32
8: 8.24
9: 9.18
10: 10.13
11: 11.10
12: 12.07
13: 13.05
14: 14.04
15: 15.03
16: 16.02
17: 17.02
18: 18.01
19: 19.01
20: 20.00


Everything over 20 is essentially equal to the difference.

-Cherry