How to Use the Gacha Budget Depletion Simulator
Enter your total budget and the cost per pull to see exactly how many pulls you can make. Add the item drop rate to get the expected number of items and a 95% statistical confidence interval based on the binomial distribution.
Formulas Used
- Max Pulls = floor(Budget ÷ Cost per Pull)
- Expected Items = Pulls × Drop Rate
- 95% Confidence Range: Mean ± 1.96 × √(n × p × (1−p))
- Example: Budget 100,000, cost 1,600, rate 3% → 62 pulls, ~1.9 items expected, range 0–4
Games with a pity (guaranteed drop) system will typically yield more items than this pure-probability estimate. Use this as a baseline without pity to understand worst-case expectations.
Frequently Asked Questions
Max Pulls = floor(Budget ÷ Cost per Pull). A 100,000 budget with 1,600 per pull gives 62 pulls.
There is a 95% probability that your actual item count falls within this range, based on the binomial distribution. It shows the spread from unlucky to lucky outcomes.
This uses pure probability only. Pity systems guarantee items before the statistical average, so actual results will typically be better.