Verification of Gacha Drop Rates (for General Gacha)
Author: ExpectedValueExecutions: 31049
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For gacha systems in mobile games and similar applications, this method verifies the confidence interval for an item’s drop rate based on the number of times that item appeared when the gacha was spun.
Confidence interval: An interval used to determine the degree of deviation between an estimated value and the true value.
Confidence level: The criterion used to determine the width of the confidence interval. The higher the confidence level, the wider the confidence interval. If the test is repeated under the same conditions, the probability that the true value falls within the confidence interval is approximately this high. Generally, 95% and 99% are commonly used.
| Price per gacha pull | yen |
| Estimated emission rate | % |
| Confidence Interval for the Emission Rate | %～ % |
| Confidence interval for the expected number of gacha spins required for that item to appear | Times～ Times |
| Confidence interval for the expected amount spent until that item appears | yen～ yen |
Price per gacha pull = Number of premium stones per pull × Price per premium stone ÷ Number of premium stones purchased
You can also use this page to verify the drop rates of items awarded as game rewards. In that case,
please substitute “Number of gacha pulls” and “Number of appearances” with
“Number of runs” and “Number of drops,” respectively, and “Drop rate” with “Drop rate.”
- Related links
Calculating Probability Distributions for Gacha (for General Gacha)- Calculating Probability Distributions for Gacha (for Box Gacha)
- Calculating Probability Distributions for Gacha (for Continuous Gacha)
- Calculating the Expected Value of a Gacha (for General Gachas)
- Calculating the Expected Value of Gacha (for Rerolling)
- Calculating the Expected Value of a Gacha (for Gachas with a Cap)
- Calculating the expected value of a gacha (for collection gachas with varying drop rates)
- Calculating the Expected Value of a Gacha (for Box Gachas)
- Calculating the Expected Value of a Gacha (for Consecutive Gacha Runs)
- Verification of Gacha Drop Rates (for consecutive gacha pulls)
- Calculating the Number of Gacha Pulls (for General Gacha)
- Calculating the Number of Runs and Time per Run in a Game
- Calculating Stamina in Games
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