Games ยท ๐ Global
Gacha Pity Probability Calculator
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 (โคยฑ0.1% 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 ~95โ98% 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 โ 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 "70โ80 average," see the 25%-quick and 90%-unlucky tails of the distribution.
Features
- 15+ titles modeled (Genshin / HSR / ZZZ / Blue Archive / Wuthering Waves, โฆ)
- 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 isnโt 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 thereโs a 50% chance the first 5-star is rate-up with the next guaranteed if you lose. A naive product canโt 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 โ current) to guarantee + rate-up vs. off rate.
- Q. If reality diverges from the sim?
- A. Thatโs variance. "70โ80 average" averages the 30-pull luckies and the 89-pull unluckies โ the percentile bands make this concrete.
Sources / references
Related guides / blog posts
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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.