Calculating the Expected Value of a Gacha (for Box Gacha)
Author: ExpectedValueExecutions: 20878
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For gacha systems in mobile games and similar platforms, this tool calculates the expected number of spins and the expected amount spent before obtaining a desired item.
Box Gacha: Similar to a real-life lottery, you set the number of items in the box at the start, and each time you spin, the number of that item is deducted from the box. If you spin the gacha exactly the number of times equal to the initial number of items, you are guaranteed to obtain all of them.
| Price per gacha pull | yen per session |
| The expected number of gacha pulls required for a desired item to appear at least once | Times |
| The expected amount spent until the desired item appears at least once | yen |
Price per gacha pull = Number of premium stones per pull × Price per premium stone ÷ Total number of premium stones purchased
Let r = 1.
- 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)
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- Calculating the Expected Value of a Gacha (for Consecutive Gacha Runs)
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