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Gacha Calculator

This comprehensive suite of interactive calculators helps you understand gacha systems and general gacha mechanics analysis.

Understanding the Pity System

The gacha system features a "soft pity" mechanism where drop rates increase significantly after certain thresholds, and a hard pity that guarantees a limited drop at threshold.

Using Genshin Impact as an example:

  • Elite Characters: Base rate 0.5%, soft pity starts at 75 draws, hard pity at 90 draws
  • Elite Weapons: Base rate 0.5%, soft pity starts at 65 draws, hard pity at 80 draws
  • 50/50: Meaning there is a 50% chance to get the event limited character.
Example settings

The example parameters you will select for Genshin Impact will be:

  • Pity Peak: 90
  • Pity Start: 75
  • Bernuolli Probability: 50

Different games have different rates, example Bernuolli rate of 75/25 for HSR lightcones, or 100/0 for Wuthering Wave's weapon.

Cumulative Probability Chart

This chart shows how many attempts you need to reach specific probability thresholds for obtaining target copies.

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Suppose you intend to C6 a limited character from Genshin Impact, you will read the green line "Bernuolli + Pity adjust".

At default settings, it works out to ~1300 rolling attempts to have a 95% chance of maxing out your character.


SSR Count Distribution

This histogram shows the distribution of expected counts of the SSR you want from a given number of attempts.