Soft pity is the range of pulls where the 5-star rate climbs sharply above its base value. In the standard model the base rate is about 0.6 percent per pull, but starting around pull 74 it ramps up by roughly 6 percent each pull until the guarantee.

Hard pity is the pull at which a 5-star is guaranteed. In this model that is pull 90: if you have not pulled a 5-star by then, your 90th pull is certain to be one. The tool flags exactly which of your planned pulls reaches that guarantee.

How is the cumulative chance computed?

The tool multiplies the per-pull failure probabilities together across your planned pulls, accounting for the rising rate during soft pity. One minus that product is the chance of at least one 5-star. This is the mathematically correct way to combine independent-per-pull odds.

Does a higher pity mean better odds?

Yes. The closer your starting pity is to the soft-pity threshold, the faster the rate climbs across your planned pulls, so the same number of pulls yields a much higher cumulative chance than starting from zero pity.

Are these the exact game numbers?

They model the widely documented 0.6 percent base, around pull 74 soft pity, and pull 90 hard pity used by the most common gacha systems. If your game uses different thresholds the shape is the same but the exact numbers will shift.

Old School RuneScape Gacha Pity & Pull Calculator

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Gacha systems hide their true odds behind a pity mechanic: the longer you go without a top-rarity pull, the better your chances get, until a guaranteed drop. This calculator tracks your pity counter and tells you the real cumulative probability of a 5-star within your planned pulls.

How it works

The model uses three rules that match the most common gacha implementations:

base rate        = 0.6% per pull (pity 1..73)
soft pity        = from pull 74, rate += ~6% each pull
hard pity        = pull 90 is a guaranteed 5-star (rate = 100%)
cumulative chance = 1 − Π (1 − rate at each pull)

Multiplying the per-pull failure chances and subtracting from one gives the chance of at least one success across the run — the correct way to combine independent per-pull probabilities.

Example and tips

Starting from a pity of 70 with 25 pulls saved, your run crosses the soft-pity ramp almost immediately and reaches the pull-90 guarantee, so your cumulative chance is effectively 100 percent. Starting from pity 0 with the same 25 pulls, the rate stays at the 0.6 percent base the whole time, giving only around a 14 percent chance. If you are close to soft pity, it is usually worth pulling; if you are far from it, banking pulls until you can clear the ramp in one session is more efficient.