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Gacha Pity Probability Calculator

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Gacha pity probability calculator with 15+ games and Monte Carlo simulation.

About this tool

Gacha Pity Probability Calculator runs Monte Carlo (100k iterations) on the actual probability curves of 15+ gacha titles โ€” Genshin Impact, Honkai: Star Rail, Zenless Zone Zero, Blue Archive, Wuthering Waves, etc. โ€” folding in soft pity, hard pity, and 50/50 rules so the math goes well beyond a naive multiply. Enter your current resource, pity counter, and 50/50 guarantee state to see the probability of pulling the rate-up within N pulls, the average pulls needed, and the 25 / 50 / 75 / 90% percentiles. A high-precision mode pushes to 1M iterations (โ‰คยฑ0.1% sample std). Downloadable PNG card, KR / EN UI, and zero access to game clients or servers.

Use cases

Scenario 1

Genshin 80 pulls + 50/50 guaranteed

In Genshin with 80 pulls used (in soft pity) and a 50/50 guarantee plus 80 more pulls, see ~95โ€“98% odds of the rate-up.

Scenario 2

Honkai: Star Rail new 5-star average

Starting from 0 pulls and no guarantee in Honkai: Star Rail, see the average pull count to a rate-up 5-star and where the 90% safety line lies.

Scenario 3

Blue Archive 200-pull pity

Blue Archive uses a 200-pull recruit-ticket guarantee, so the model computes (200 โˆ’ current) pulls until pity confirms.

Scenario 4

Resource โ†’ pull count

Convert 8,000 primogems + 100 stardust into pull count and simulate the rate-up probability within that budget.

Scenario 5

Percentiles visualize the luck range

Beyond a "70โ€“80 average," see the 25%-quick and 90%-unlucky tails of the distribution.

Features

  • 15+ titles modeled (Genshin / HSR / ZZZ / Blue Archive / Wuthering Waves, โ€ฆ)
  • Soft pity curve + hard pity + 50/50 rule modeled
  • Monte Carlo 100k (or 1M high-precision)
  • Average + 25 / 50 / 75 / 90 percentiles together
  • Resource โ†’ rate-up probability auto-computed
  • PNG card + share URL + KR / EN UI
  • Zero access to game clients or servers

Frequently asked

Q. Why isnโ€™t Genshin rate-up just 0.6%?
A. The base 0.6% holds through pull 73, then climbs almost linearly through 89 (soft pity), 90 is hard pity, and thereโ€™s a 50% chance the first 5-star is rate-up with the next guaranteed if you lose. A naive product canโ€™t handle that.
Q. Is the Monte Carlo accurate?
A. 100k runs give ยฑ0.3% sample std; the 1M high-precision mode tightens to ยฑ0.1%. Accuracy hinges on the curve itself โ€” refreshed quarterly with datamining.
Q. Does the tool fetch game data?
A. No. It never touches game clients or servers โ€” it simulates from your manual inputs. The probability curves are stored statically, sourced from official disclosure + community datamining.
Q. Why a different model for Blue Archive?
A. Blue Archive has (1) no soft pity, (2) a 200-pull ticket-exchange guarantee, and (3) a base 3% on 3-stars. The tool runs a dedicated model: (200 โˆ’ current) to guarantee + rate-up vs. off rate.
Q. If reality diverges from the sim?
A. Thatโ€™s variance. "70โ€“80 average" averages the 30-pull luckies and the 89-pull unluckies โ€” the percentile bands make this concrete.

Sources / references

Related tools

How we run it / disclaimer

This tool is advisory and does not constitute legal, tax, medical, or financial advice. All calculations and document generation run in your browser; inputs are never sent to a server. Ads follow Google AdSense policy and are kept separate from tool accuracy.