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Probability

Gacha Calculator

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

SSR

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

Weapon

  • Pity Peak: 80
  • Pity Start: 65
  • Bernuolli Probability: 75

SSR

  • Pity Peak: 80
  • Pity Start: 70
  • Bernuolli Probability: 50

Weapon

  • Pity Peak: 80
  • Pity Start: 70
  • Bernuolli Probability: 100

Cumulative Probability Chart

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

Help

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.

Basic Parameters

Pity System

Bernoulli System

Chart Information

This chart shows the required amount of attempts to reach a cumulative probability of obtaining 1 target copies of a limited character you intend to pull. Each line represents a different gacha system configuration:

  • Base: Standard gacha with 0.5% base rate

SSR Count Distribution

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

Basic Parameters

Pity System

Bernoulli System

Statistics

Base:Expected SSR: 4.93, Variance: 3.52