How do you calculate %xHKO?

That also disregards criticals, multiple damage formulas (grr BW), varying multipliers (aran/crusaders) etc.

When you stretch the uniform distribution with scale multipliers it all gets significantly more complicated.

Like for a 50% critical that deals double damage,
.5*(H(x - 1) - H(x - 2)) + .5*.5*(H(x - 2) - H(x - 4))
= .5 H(x-1) - .25H(x-2) - .25H(x-4)


If the min crit wasn't exactly equal to the max non-crit this would look uglier even.

I figured this too eventually (where the initial distribution is a choice between one set of endpoints or another, which works for criticals and for warrior animations but not both at once).

The general case just gets annoying to work with.