Calculate the probability of pulling a gacha item within N pulls. Enter rate and pull count to find your cumulative chance with pity.
Gacha games are built on probability. Knowing your actual chances of pulling a desired item within a specific number of pulls helps you make informed spending decisions. This calculator computes cumulative probability with and without pity systems.
The core formula is simple: P(≥1 in N pulls) = 1 − (1 − rate)^N. With a 1% rate and 100 pulls, you have a 63.4% chance — not the 100% many players intuitively expect. Adding a hard pity at pull 100 changes the math to guarantee success.
Use this tool to evaluate whether a banner is worth pulling on, how many pulls to budget, and the real odds of getting what you want.
Gamers, streamers, and content creators benefit from precise gacha pull probability data when optimizing their setup, planning purchases, or maximizing performance and value. Bookmark this tool and return whenever your hardware, games, or streaming requirements change.
From casual players to competitive esports enthusiasts, knowing your precise gacha pull probability numbers empowers smarter hardware investments, streaming decisions, and long-term upgrade planning. Adjust the inputs above to mirror your actual setup and discover optimizations you may have overlooked.
From casual players to competitive esports enthusiasts, knowing your precise gacha pull probability numbers empowers smarter hardware investments, streaming decisions, and long-term upgrade planning. Adjust the inputs above to mirror your actual setup and discover optimizations you may have overlooked.
Gacha games thrive on players' misunderstanding of probability. A 3% rate sounds generous until you realize there's a 22% chance of not getting a single success in 50 pulls. This calculator replaces false intuition with real math, helping you spend wisely. Instant results let you compare different configurations and scenarios quickly, helping you get the best performance and value from your gaming budget.
Without pity: P(≥1) = 1 − (1 − rate/100) ^ N With hard pity at M pulls: P(≥1 within min(N,M)) = 1 if N ≥ M, else standard formula
Result: 38.2% without pity; higher with soft pity
With 0.6% rate and 80 pulls (no pity): 1 − 0.994^80 = 38.2%. With hard pity at 90, you're guaranteed the item within 10 more pulls maximum, making the effective probability much higher.
Gacha probability follows a Bernoulli model where each pull is an independent trial. The cumulative probability grows with each pull but never reaches 100% without pity mechanics. Understanding this is key to making rational spending decisions.
Pity systems transform gacha from pure gambling into bounded purchases. With hard pity, you're essentially buying the item for a maximum known price. This has made gacha more palatable to regulators and players alike.
The golden rule: if you can't afford hard pity, don't start pulling. Starting a banner without enough pulls to hit pity means you might end up with nothing to show for your spending — the worst possible outcome.
The gacha rate is the probability of getting a rare item on a single pull, usually expressed as a percentage. Featured items often have rates between 0.5-3%. Standard rare items may have 5-10% rates depending on the game.
Expected pulls is an average. Due to randomness, about 37% of players will exceed the expected pull count before seeing a success. This is normal mathematical behavior, not a bug.
Rate-up banners increase the chance that when you do pull a rare, it's the featured item. The overall rare rate stays the same, but a larger portion of rare pulls become the featured item, typically 50% of rare pulls.
Mathematically, the probability is identical per pull. Multi-pulls (10x) are often preferred because they offer a guaranteed minimum, bonus items, or slight discounts. The per-item rate doesn't change.
Only if the game has a hard pity system. With hard pity, saving enough pulls to reach the cap guarantees the item. Without pity, there's always a chance of going empty-handed regardless of pull count.
This varies by game. Check the cost per premium currency and divide by the amount needed per pull. Use the Gacha Cost Estimator for real-money cost calculations.