What is soft pity versus hard pity?

Soft pity is the point where the per-pull rate starts ramping up sharply, commonly around pull 74. Hard pity is the count at which a five-star is guaranteed, commonly pull 90. The tool models both so your odds reflect the real banner behavior.

How is the cumulative probability computed?

It walks pull by pull from your current pity, applying the base rate before soft pity and a rising rate afterward. The chance of a five-star within N pulls is one minus the chance of missing every pull along the way.

Why do most five-stars come near hard pity?

Before soft pity the rate is tiny, around 0.6 percent, so most pulls fail. After soft pity the rate climbs steeply toward 100 percent at hard pity, which is why the bulk of five-stars land in that final stretch.

Can I use this for any gacha game?

Yes. The base rate, soft pity, and hard pity are all adjustable, so you can match the published values of most banners. The defaults reflect the widely used Genshin and Honkai Star Rail style system.

Does pity carry between banners?

That depends on the game; many character banners share a pity counter while weapon banners use a separate one. Enter the pity that applies to the banner you are pulling on, and the tool handles the rest.

Path of Exile Gacha Pity & Pull Calculator

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Pulling on a Path of Exile gacha banner blind is how players overspend chasing a five-star they were nearly guaranteed anyway. This calculator models the real soft-pity and hard-pity system so you know precisely how many pulls stand between you and a guaranteed drop, and your odds at every step.

How it works

The per-pull rate depends on where your pity counter sits relative to soft and hard pity:

if pity < softPity:  rate = baseRate
if pity >= softPity: rate = baseRate + ramp * (pity - softPity + 1)
if pity >= hardPity: rate = 1 (guaranteed)

The ramp is set so the rate climbs from the base toward 100 percent by hard pity. The cumulative chance of at least one five-star within your planned pulls is one minus the product of every pull’s miss chance.

Why the back half matters

Before soft pity the rate is tiny, so early pulls rarely hit. Once you cross soft pity the rate accelerates, concentrating most five-stars in the final pulls. That is why saving until near soft pity is often the efficient play.

Example

Starting at pity 0 with a 0.6 percent base, soft pity 74, and hard pity 90, you are 90 pulls from a guarantee, and 20 early pulls carry only a few percent chance — but 20 pulls starting from pity 70 are dramatically more likely.