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https://steamcommunity.com/sharedfiles/filedetails/?id=2979274874
The intent of my question is this.
Is every commander equally likely to be captured?
I think it might be weighted by their Prowess...? I'm not sure. Rulers might also be much harder to capture, as I don't find myself capturing as many kings in battle as I do lesser generals.
After all, I felt that the probability of capturing the king was lower than capturing the count, so my experience was correct.
From now on, when fighting rulers with low prowess, I will actively aim to capture them.
https://ck3.paradoxwikis.com/Warfare#Capturing_commanders
So the major factor in favor is if they are stack wiped In other words no run away troops, and the major factor against is their prowess.
Now lets look at those numbers. Before going on this says commanders. I can't find anything in the wiki mentioning knight capturing so they could be different numbers. Also as I am cutting the numbers off so these are "close enough" numbers.
TLDR: unless you stack wipe them, and they are below 20 prowess I wouldn't bother.
No modifiers.
5 prowess. 10 X 25 / 30 = 8.333 / 90 = 0.09258 = 9.258%
10 prowess. 10 X 20 / 30 = 6.666 / 90 = 0.07406 = 7.406%
15 prowess. 10 X 15 / 30 = 5 / 90 = 0.05555 = 5.555%
20 prowess. 10 X 10 / 30 = 3.333 / 90 = .03703 = 3.703%
25 prowess. 10 X 5 / 30 = 1.666 / 90 = 0.01851 = 1.851%
30 prowess. 10 X 0.1 / 30 = .0333 / 90 = 0.00037 = 0.037%
Stack wipe. 90 / 5 = 18
5 prowess. 10 X 25 / 30 = 8.333 / 18 = 0.4629 = 46.29%%
10 prowess. 10 X 20 / 30 = 6.666 / 18 = 0.3703 = 37.03%%
15 prowess. 10 X 15 / 30 = 5 / 18 = 0.2777 = 27.77%
20 prowess. 10 X 10 / 30 = 3.333 / 18 = 0.1851 = 18.51%
25 prowess. 10 X 5 / 30 = 1.666 / 18 = 0.09255 = 9.255%
30 prowess. 10 X 0.1 / 30 = .0333 / 18 = .00185 = .185%
Stack wipe vs a brave maimed commander without stalwart leader (for giggles)
5 prowess. 10 X 25 / 30 = 8.333 X 2 X 3 = 49.998 / 18 = 2.777 = 277.7%
10 prowess. 10 X 20 / 30 = 6.666 X 2 X 3 = 39.996 / 18 = 2.222 = 222.2%
15 prowess. 10 X 15 / 30 = 5 X 2 X 3 = 30 / 18 = 1.666 = 166.6%
20 prowess. 10 X 10 / 30 = 3.333 X 2 X 3 = 19.998 / 18 = 1.111 = 111.1%
25 prowess. 10 X 5 / 30 = 1.666 X 2 X 3 = 9.996 / 18 = .5553 = 55.53%
30 prowess. 10 X 0.1 / 30 = .0333 X 2 X 3 = .1998 / 18 = .0111 = 1.11%
I didn't know one legged characters were much easier to capture. Makes sense though, lol
At the end of the game, the great powers tend to chose kin dynasty legacies to prevent their abilities from declining with age, which seems to make them more difficult to capture.