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Gacha Pity Calculator

Pick a game preset, enter your current pity count and how many pulls you can afford. The model walks the real probability curve pull by pull and returns your chance of the featured character.

Presets are approximations. Switch to Custom and enter your game's own numbers.
On a 50/50 banner, losing to a standard 5-star makes the next 5-star guaranteed.
Chance of the featured character

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Chance of any 5-star—
Pulls left to hard pity—
Expected pulls to next 5-star—
Expected cost for featured—

How pity actually works

Pity is the mechanic that stops a bad streak from running forever. There are two flavours, and confusing them is why most players misjudge their odds.

Hard pity

A ceiling. On the pull that reaches the ceiling, the 5-star chance becomes 100%. In Genshin, Honkai: Star Rail and Zenless Zone Zero that is pull 90; in Wuthering Waves it is pull 80. You cannot go past it.

Soft pity

A ramp that starts before the ceiling. From a set pull number onward, every additional pull adds a fixed amount to the base rate:

rate(n) = base + (n − soft_start + 1) × step

With a 0.6% base, soft pity from pull 74 and a 6 percentage point step, pull 75 sits at 6.6%, pull 80 at 36.6%, and pull 89 at 90.6%. This is why the last twenty pulls feel so much better than the first twenty — they genuinely are.

Why the flat formula fails: 90 pulls at a flat 0.6% gives a 41.8% chance. With soft pity and a hard floor, the same 90 pulls give 100%. The two models are not close, and only one of them is right.

What the 50/50 really costs

On a character banner you have a 50% chance the 5-star is the featured one. If you lose, the next 5-star is guaranteed. That turns the expected cost for one copy into roughly one and a half pities:

ScenarioExpected pullsWorst case
Won the 50/50≈ 6290
Lost it, then guaranteed≈ 124180
Blended average≈ 93180

That is why saving "180 pulls" is the standard advice for a guaranteed character, and why 90 is only a coin flip in disguise.

Preset assumptions

Presets are compiled from official announcements and community-tracked data as of late 2026. Treat them as close approximations, not gospel — publishers adjust rates, and regional versions can differ.

GameBaseSoft pityHard pity
Genshin Impact0.6%7490
Honkai: Star Rail0.6%7490
Wuthering Waves0.8%6680
Zenless Zone Zero0.6%7490
Fate/Grand Order0.8%*—330

*FGO's 0.8% is the rate for the featured servant specifically, and its ceiling guarantees the featured servant directly rather than a 50/50. The calculator handles that difference internally.

Three things players get wrong

  1. Pity carries over — usually. On most banners the counter is shared between banners of the same type, so pulls are never wasted. Check the banner notes before assuming.
  2. Weapon banners are different. Weapon pity is lower (often 80) with a higher base rate, so character-banner numbers do not apply.
  3. Guarantee is a state, not a number. Losing a 50/50 does not add pulls to your counter; it flips a flag that the next 5-star is featured. Set the dropdown accordingly.