Lucky hit Math: Do I have a 100% chance to heal every hit?

Ok I have a necklace that says “Up to a 15% chance to heal 73 life”
And when I look at my stats, it says that my “Lucky Hit Chance Bonus” is 92.9%"

Does that mean that if I wear this necklace, I am going to heal 73 with every single hit?

I’m sure I must have the math wrong… right?

I suppose I can just… try it out. But I’m expecting to be wrong. I just want to understand what these numbers really mean, I guess

15% of 92.9% is 13.935%. So, you have a 13.935% chance to heal 73 life.

That’s how the math works? With a name like Lucky hit chance bonus" I figured that must mean that whatever my lucky hit chance was, would have 92.9% added to it

You should not get attached to the total lucky strike. You should see the lucky strike in your skill. If hydra causes 20% immobilize lucky strike per hit and you have 50% lucky strike your hydra will have 30% now .Your lucky strike is applied to all your skills.

The necklace is the Effect Lucky Hit%

Each skill you use has a lucky hit chance associated with it. Just hover over the skills to see it. This is Skill Lucky Hit%

The formula is:

the Actual% of the time to Ocur = Skill Lucky Hit% * Effect Lucky Hit % * (1+ total bonus Lucky Hit % :from gear and passives and paragon)

thats not even the way to do it. so look at your attack skills, they have what your lucky hit is with each skill. your 92% luckyhit is going to be multiplicative to each skills luckyhit chance, not additive. some skills have a higher inherent luckyhit chance, corpe explosion and bonespear for example. but each skill will have a lucky hit chance that already includes your stat calculated in to it. that represents how often you lucky hit. then the lucky hit 15% chance to hit is a 15% chance of your lucky hits. so if your skill lucky hits 50% of the time then you will heal 15% of those lucky hits, which equates to 7.5% of the time

1 Like

The way lucky hit works is that having a 100% bonus means it doubles your chance to trigger it. So if a skill has 15% chance to trigger a lucky hit then at 100% bonus it would effectively be 30% chance to trigger a lucky hit. At 200% bonus it would be 45%. You cant go more than 200% lucky bonus as far as I know.

1 Like

I’ve seen a lot of replies here and I appreciate them all. But I’m not sure they’re right.

I almost sold this thing but just to be sure I took it out and tested it. I found some guys, let them start wailing on me until I got down to about half health and then started firing. And as far as I can see, yes, I am healing that amount with Every Single Hit.

Actually not even hits. I just have to fire the staff. It works even if I fire at nothing.
[Edit:No sorry that is wrong. I do have to hit something. My mistake]

I could hardly believe it. I started firing and the health just soared right back up to the top almost immediately.

I have to say, this feels a bit like a cheat code.

Now in fairness, I have

  • 39% bonus to Lucky Hit from a masterworked Helm of Perdition
  • 9% lucky hit bonus from a legacy Ring of Starless Skies
  • 10% lucky hit bonus from a masterworked Mother’s Embrace.
    +… whatever else I get from my stats.

So I think that +92% lucky hit bonus really is additive. Or close to it.

Sorry, I misread you question. I thought the skill has 92.9% lucky hit chance.

Whisper, go by this guy’s answer. You have to check the lucky hit chance on the skill from skill tree.

On the Skill tree it says that Ice Shards has a 31% lucky hit chance. And I am in no position to question his knowledge of the game.

But the issue is that the math he presents does not jibe with what I am seeing. Firing at a guy is healing me at what looks to be every hit (or almost), not 30% of the time and certainly not a fraction of 30% of the time.

I am now just standing toe-to-toe with bosses I would have run away from a short while ago on on T3. There are still those I have to run away from because they can crowd-control and one-shot me. But this thing is amazing.

You also have to take into consideration: ice shards launches five shards. Does each shard have a chance of proc’ing a lucky hit? If so, a 20% LH with 5 projectiles would seem like its proc’ing 100% of the time.

1 Like

Is Ice Shards the only attack skill you’re using?

Let’s go through an example. Suppose you have a skill with a base Lucky Hit chance of 20% without any gear enhancements.

If you increase your Lucky Hit chance by 92.9%, that skill’s chance becomes 20% × (1 + 92.9%) = 38.58%. So, for each hit with that skill, you have a 38.58% chance times a 15% chance to heal, which equals 5.787% chance to heal per hit.

You can have multiple skills with Lucky Hit chances, and attack speed also plays a role.

With one hit per second, you’d have a 5.787% chance to heal per second. At five hits per second, you’d have five chances of 5.787% each to heal per second.

I know it’s very complicated. Sorry, I didn’t answer you question correctly the first time.

2 Likes

8.9% chance to heal per hit if calculated by the formula mentioned earlier in this post.

Oh that might be it! And I have an insane rate of fire and near inexhaustible resource. My staff adds +94% core attack speed. Mother’s Embrace adds +24% more . ( I suppose that’s not additive any more than the lucky hit chance but the point is that I send out a zillion ice shards in a continuous stream)

I wonder, does the chance also proc with the Aspect of Piercing Cold that I have (i.e. each time they pierce)?

well remember ice shards hits how many times per cast. each hit would have that 33% lucky hit chance

No I appreciate the answer all the same. I’m guessing that yes, the rate of fire must be a big factor per my other post

1 Like

No. Lucky hit proc chance is individual to the piece that it procs off of (from what I’ve read). From that the percentage is derived. So if you have one piece that is 100% lucky hit and a 50% chance at X, you have a 50% chance to get X whatever. So on and so forth down the ladder.

Your bonus lucky hit chance is applied to your respective skill’s base lucky hit chance.

As an example, say you’re using a core skill that has a 20% lucky hit chance by default. This means that your skill will lucky hit 20% of the time. If you have 100% lucky hit on gear, that would make the core skill lucky hit 40% of the time (roughly).

Now your amulet says that 15% of those lucky hits will heal you. So overall you would have a 6% chance to heal with every attack (15% of 40% = 6).