Is there a chart showing the % of chance to hit defense per ar?

This post was edited by Wyrmvater on Nov 20 2016 04:22am

The only one I can think of is the hit chance ratio chart



If you google diablo ii chance to hit calculator you can input certain values if you want to number crunch yourself

Or do it manually: Chance to Hit = 2 * atlvl / (atlvl + dflvl) * AR / (AR + Defense)

i have one in my set of sheets thats set to my barbs ~hit chance vs x def, (assuming same lvls etc)

Pretty sure i havnt ever used it after that just b/c the functions Marieusz posted is pretty damn intuitive by memory o.o

/e:

although that chart doesnt shows the 5%/95% caps / only up to max 10 ar/def ratio, which isnt exactly near the asymptote yet, (not that it really matters since the return / dimensioning affect of the CtH% formula is so huge, doubt youde ever go for higher than 10 ar/def ratios.)

Could plot it on a logrithmic scale if you wanted to see the true affect though lol


/e2:

Kinda a neat way to look at it:





This post was edited by legen on Nov 20 2016 11:40am

Sorry Legen for my previous flaming,

I surfed the internet and found a very simplistic approach, levels being equal simplified, I guess it's about this and quite precise:

Example: You have 10000 AR, your opponent 5000 defense.

* 10000 + 5000 = 15000
* 10000 out of 15000 is 66.6666...%


In Empiricism, as a criterion of Science defined by Carl Hempel, this would be Parsimonious. Meaning a simplicity that conveys the essence of the object.

This post was edited by Wyrmvater on Nov 20 2016 11:43am

id say you need about 3x the ar compared to defence to hit the target about 75% of the time

so yea try to get 3x the ar of their def

Yes, thats the same eqn as above:

atlvl = dflvl, ar = 10000, dr = 5000

Chance to Hit = 2 * atlvl / (atlvl + dflvl) * AR / (AR + Defense)

Chance to Hit = 2 * atlvl / (atlvl + atlvl) * AR / (AR + Defense)

Chance to Hit = 2 * (1 / 2) * AR / (AR + Defense)

Chance to Hit = AR / (AR + Defense) <- Simplified form

Chance to Hit = 10000 / (10000 + 50000) = 0.66666666666666666666666666666667

Chance to Hit ~ 66.67% <-

This is for BvC vs a Shouted Team, even the other Barb, so I'm primarily concerned with the range of .55 - 2 AR/DEF Ratio. (I can calculate this myself)


Any fair estimate on how much defense Druids/Sins/Necros have Shouted? I even forgot the standard BvC's defense, it's been so long.

This post was edited by Wyrmvater on Nov 20 2016 11:49am

Generally, shouted chars have ~9-12k def depending on how well geared / setups they use / lvl of shout of the other barb (its not necessarily always maxed). I usually approximate this to 10k since thats just under what my char gets and they use eth bugged enigmas lol


Generally, since this def is pretty high, in these situations i aim for at least 50% > cth > 75%. Since youll be ~ 1 to 2 hitting enemies on contact this means 1 - 4 ww checks on some average. (Keep in mind these are ALL sttistical functions, thus is a lot rougher without literally integrating cdf/pdfs to figure exact numbers, which only let you compare your build vs an alternative.)

For this example, i call this "good enough". (My barb is based purely on increasing dmg, so 1-4 ww checks will actually almost always kill opponents, minus blocks which were also neglecting, something you cannot do vs sins)

Then, you need to consider if your using reg grief or GoD... that 25% (.125% in pvp) - targets def is going to significant at this range (%CtH ~ 50%)

So, in these cases the cth >> ow/slight dmg, then:

CtH ~ Ar / (Ar + edef)

def = 10k
edef = def / (1+[-def%]/100) = 10k / 1.125 = 8888, (effective def after - def from grief)

Rearranging and solving for Ar:

CtH*Ar + CtH*edef = Ar

Ar = (CtH*edef)/(1-CtH)

So, for 50% CtH:

Ar = .5*edef/(1-.5) = edef = 8888 (note, for 50%cth ar = edef is always true, and a really good way to compare the values intuitively like i said early)

75% CtH:
Ar = .75*edef/(1-.75) = 3*edef= 26664


Obviously, 27k ar is totally unrealistic without majorly effecting your barbs damage.
9k however is not. Most barb in fpks depending on a vis circ or not fall into the range of about 9k to 12k ar by default, using the normal 3/20/20s etc (without sacrificing any damage based gear)

Although it could be beneficial to how some find an "optimal" damage to kill enemies perfecty (again... all statistical functions so good luck lol) and then aim for maximizing ar after that for full game fpks, but as soon as you switch to non-shouted chars, it totally breaks the build down again...

9k - 12k ar vs 2k def max chars alrdy nets you massive CtH in comparison, thus its better to soley focus on damage to raise your % chance to cause to other player fhr during a ww hit, or kill them faster.

Thus, its often better to aim for x sub-optimal ar / CtH all the time, (base = 50% by my books), and literally build everything else for % damage. Stuff like +str gear / %ed on barb gear like rare jewels / rends actually goes pretty far because of barbs inherently lower %dmg from ww + mastery + fant aura (even if that looks like a lot)

Even 10% raises in damage and push your average damage high enough to give a huge increase in overall % to fhr an opponent which is key when your doing small/close ww's causing the other player to get stuck in the ww. (tri ww's / dod / etc w/e you wanna call it)

You probably wont find it on barbs, but i usually use a edeath 2h axe in most setups on my barb. I find it better to lose all my ias (meaning zerk and long ww's become completely useless) just to increase that avg dmg so much that it literally dominates people ~


tl;dr: i dont even know, i just started rambling i think lol

I guess use at least 50% cth => ar = edef in fpks? rest Dammach ~

Right, I caught most of that.

I generally don't like cookie cutter builds, I've decided to go Swords on my BvC. Peculiarly, also going 65fcr in fpk with a level 33 leap from 2x Barbarian Combat Gcs. Gives me practically no dr%, but I'll have a massive amount of Dexterity, including a Ravenfrost and a dext bvc ring. Dext increases AR a lot as I've noticed, one of those rolled 2/30frw/20fcr/Viso/20dext/2os Diadems, I despise being sluggish after hitting the golem, I like to stay in control of where I go and manipulate the duel at my own pace, according to my play style, etc. Swift, though with 2x Lo runes, less trap tanking, but countered with the highest Leap radius of 18.6 yards, balancing the -25% Eth rune with a 100ar jewel on my other Sword, as I've heard unbalanced weapon attack ratings glitch themselves, if you know what I mean, I think I'll fare well. The other team being amped makes me not worry too much about the "stun" % you were mentioning, primarily going after mindblasted enemies in the first place, etc. Just want to have a viable Dual Sword Barbarian, for the thrill and style of it. Will be aiming for above 12k ar for sure, if ever I encounter the other Barb. Might pump some points into Dexterity for this, even higher than my already high Dexterity, as it gives huge bonuses to AR.