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Gacha Pull Probability

Lifestyle Tools

Pity math · expected pulls · spend estimate

Quick Answer

Gacha Pull Probability: Pity math · expected pulls · spend estimate. Gacha Pull Probability uses standard everyday life formulas to compute accurate results instantly.

%
CNY
P(at least 1 copy in 90 pulls)
41.82%
Estimated spend ≈ ¥1,152
Expected pulls/copy166.7
50% confidence116 pulls
90% confidence383 pulls
99% confidence766 pulls

Cumulative probability

PullsP(≥1 copy)Spend
105.84%¥128
2011.34%¥256
3016.52%¥384
4021.39%¥512
5025.99%¥640
6030.31%¥768
7034.38%¥896
7335.55%¥934
8038.21%¥1,024
9041.82%¥1,152
This page uses a CONSTANT-rate model (no pity). Genshin/HSR character banners add a soft pity from pull 74 and hard pity at 90 (base 0.6% → consolidated ≈1.6%), plus a 50/50 featured-unit rule with guaranteed featured within 2 five-stars. Base-rate math explains why "almost everyone gets it by 90" despite a tiny 0.6% rate.

Calculation steps

  1. 1P(at least 1 in 90 pulls) = 1 − (1−p)^n = 1 − (1−0.006)^90
  2. 2= 41.82%
  3. 3Expected pulls per copy = 1/p = 166.7
  4. 4Pulls for 50% / 90% / 99% confidence: 116 / 383 / 766

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How to Use

  1. Enter scenario values: fill real-life numbers into the Gacha Pull Probability (defaults work for a quick try).
  2. Instant results: everything computes live, no button needed.
  3. Read the advice: results come with practical tips, reference standards and pitfalls.
  4. Compare options: adjust parameters to compare choices side by side.

Key Points

  • Gacha Pull Probability is a free online everyday life tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: Pity math · expected pulls · spend estimate.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Gacha Pull Probability formula

Gacha Pull Probability uses standard everyday life formulas to compute accurate results instantly.

FAQ

How do I use the Gacha Pull Probability?
Open the page and fill in the input fields — results update automatically. Pity math · expected pulls · spend estimate.
Are the results accurate?
Yes. Standard formulas and conversion factors are used and verified.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. Everything runs locally in your browser.

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Source & Updates

Based on common formulas and industry conventions. Last updated: 2025-07

Authoritative sources:

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Gacha Pull Probability[EB/OL]. https://www.yijiansuan.com/en/c/life/gacha

Results provided by this tool are for reference only and do not constitute professional advice.