Gacha Calculator

Learn the expected number of pulls to get the amount of SSR copies to budget your spending, or to maximize revenue as a gacha creator.

Anonymous07/25/24(Thu)12:34:56No.12345

> be me

> spent too much money on gacha

> "what if there is a way to budget my spending?"

> every gacha calculator sucks, prints charts I dont understand

> "wait, I can just code and show everyone how it works"

> actually works

> MFW Im the reason why gacha lost millions of dollars of potential earnings

(DW I made another simulation for gacha developers to show how you can profile your players and optimize your revenue in another page)

Who Is This For?

This calculator is designed for:

Gacha Game Players: Budgeting spending and understanding pull probabilities
Game Developers: Designing and balancing gacha systems
Data Analysts: Understanding probability distributions in gaming
Anyone Learning Probability: Practical application of cumulative probability and distributions
Gacha Game Designers: Optimizing revenue through probability mechanics

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

Base Probability (%): 0.5%

Target Copies: 1

Pity System

Pity Adjust

Bernoulli System

Bernoulli Adjust

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

Base Probability (%): 0.5%

Attempts: 1000

Simulation Count: 200

Pity System

Pity Adjust

Bernoulli System

Bernoulli Adjust

Statistics

Base:Expected SSR: 4.99, Variance: 4.86

david len

@nelvOfficial

With 1300 pulls, you have 95% chance to c6 a character in Genshin. With 2000 pulls, you get around 32 5s and win between 10-20 50/50 in Wuwa.

david len

@nelvOfficial

Built a video game company simulator on my web. Wish there is a way to improve the performance. If you played gacha games, you understand some terms and their monetization strategy. The purpose is to showcase how companies can segment their customers based on their behavior

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

How to Do This Properly on Your Own

Understanding Gacha Probability Models

Gacha systems use several probability concepts:

Bernoulli Trials: Each pull is an independent trial with a base success probability
Cumulative Probability: Probability of success within N attempts
Pity Systems: Guaranteed success after threshold (affects distribution)
50/50 Mechanics: Conditional probability for event-limited items

Key Calculations

Expected Pulls: Average number of pulls needed for success
Cumulative Probability: P(success within N pulls) = 1 - (1 - p)^N (simplified, before pity)
Distribution Analysis: Histogram of outcomes across many simulations

Implementation Notes

Pity systems modify the probability distribution (not simple geometric)
Soft pity increases rates gradually before hard pity
50/50 mechanics require tracking state (limited vs standard)

Has This Helped You?

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Write backlinks to this page when referencing gacha probability analysis

This calculator provides insights into:

Pull budgeting and spending planning
Probability distributions in gacha systems
Pity system mechanics
Expected value calculations

Gacha Calculator

Basic Parameters

Pity System

Bernoulli System

Chart Information

Basic Parameters

Pity System

Bernoulli System

Statistics

Understanding the Pity System

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