Calculate the cost to reach hard pity and the probability of obtaining a specific character or item in gacha games.

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Gacha Pity Calculator: Pull Probability & Cost

Example

Input: 90 Pity, 160 Gems/Pull

Result: 14,400 Gems (Worst Case)

Step-by-Step Guide

  1. Set Pity Limit: Enter the number of pulls for a guaranteed drop (e.g., 90).
  2. Cost per Pull: Input the currency cost for a single pull (e.g., 160 Gems).
  3. Target Copies: How many copies do you need (e.g., C6 or R5)?
  4. Calculate: See the maximum and average cost to achieve your goal.

What is Gacha Pity Calculator: Pull Probability & Cost?

The Gacha Pity Calculator helps players manage their in-game currency by estimating the real-world cost of obtaining a desired item. Most modern gacha games utilize a 'pity system' that guarantees a high-rarity drop after a certain number of attempts. This tool factors in 'Soft Pity' (increased rates) and 'Hard Pity' (guaranteed drop) to provide a realistic cost analysis.

How it Works

The calculation considers the probability of success per pull ($p$) and the pity threshold ($N$). Formula for Cost: $ \text{Total Cost} = \text{Pity Limit} \times \text{Cost per Pull} $ Probability of getting the item *before* pity is calculated using the geometric distribution: $P(X \le k) = 1 - (1-p)^k$. The tool helps you budget your Primogems, Stellar Jade, or other currencies.

FAQ

What is Hard Pity?

The specific number of pulls at which the game guarantees a high-rarity item (e.g., 90 pulls).

What is Soft Pity?

A hidden mechanic where drop rates increase significantly just before Hard Pity (e.g., starting at pull 74).

What is the 50/50?

A system where the first high-rarity drop has only a 50% chance of being the featured item.

Does pity carry over?

In many games (like Genshin/Star Rail), pity carries over between banners of the same type.

How much is a pull in $?

Use the Currency Converter tool to find the real-money cost of your gems.

Conclusion

Never roll without a plan. Gacha games rely on impulse spending; knowing the 'Worst Case Scenario' (Hard Pity) empowers you to save effectively. Whether you are F2P (Free to Play) or a Whale, understanding the statistical cost of a banner prevents overspending and disappointment.

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References & Standards

This calculator uses formulas and data standards from Standard References to ensure accuracy.

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