🎰Gacha Pity Cost Calculator

Calculate average pull cost to reach pity from pull price, probability, and current counter

pulls
$
%
pulls

How to Use the Gacha Pity Cost Calculator

A pity system guarantees that you receive the target item after a fixed number of pulls if it has not appeared. This calculator uses the Truncated Geometric Distribution formula to compute the expected number of pulls and cost to reach pity from your current counter.

How It Works

With n remaining pulls to pity and probability p per pull, the expected pulls = (1 − (1−p)^n) ÷ p. This formula accounts for early success before the pity cap and the guaranteed drop at the cap. The worst-case cost is the remaining pulls multiplied by the pull price — your upper spending limit.

Tips to Reduce Gacha Spending

Enter your current counter accurately to get a precise remaining cost estimate. Even with a low per-pull probability, the pity guarantee makes the true expected cost lower than the simple 1/p estimate. You can enter price in cash value or the cash equivalent of in-game currency.

Frequently Asked Questions

Can I enter 0 for the current counter?

Yes. If you are starting fresh, enter 0 as your current counter.

What is the worst-case cost?

Worst-case cost is the total you would spend if you always reached the pity ceiling without an early drop.

What should I enter for price per pull?

Enter the cash price or cash equivalent of in-game currency for a single pull.