Gacha Probability & Pity Calculator
Calculate your probability of getting an item across N pulls, pity guarantees, expected cost, and guaranteed items.
Results
What is it?
The Gacha Probability Calculator uses geometric probability to tell you the chance of getting at least one featured item across N pulls. P(at least 1) = 1 - (1 - rate)^N. The pity system guarantees you receive the item at a fixed pull count regardless of random luck.
How to use
Enter the base rate percentage (e.g. 0.6 for Genshin), how many pulls you plan to do, where pity is guaranteed (e.g. 90), your current pity counter, and the cost per pull. The calculator shows your probability, guaranteed items, expected pulls, and total spending.
Example scenario
Genshin Impact: 0.6% rate, hard pity at 90, current pity at 45. Doing 45 more pulls guarantees 1 item. Probability of hitting it randomly in those 45 pulls is approximately 23.7%. Total cost at $1.60/pull: $72.
Pro tip
Always pull to soft pity (74 in Genshin) if you are committed — the rate increases sharply after that point. Never pull for characters you are indifferent about: the probability math means you will spend far more than the expected value suggests when luck goes cold. Set a budget cap before you open the banner screen.