Calculating the expected value of a gacha (for collection gachas with varying drop rates)
Author: ExpectedValueExecutions: 13782
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For gacha systems in mobile games and the like, this calculates the expected number of spins and the expected amount spent to obtain several desired items, each with a different drop rate.
Price per gacha pull = Number of premium stones per pull × Price per premium stone ÷ Total number of premium stones purchased
This calculation applies to cases where drop rates differ from those described in “Calculating the Expected Value of a Gacha (General Gacha).” Due to technical limitations, the number of selectable item types is limited to four.
- 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 Box Gacha)
- Calculating the Expected Value of a Gacha (for Consecutive Gachas)
- Verification of Gacha Drop Rates (for General Gacha)
- Verification of Gacha Drop Rates (for consecutive gacha draws)
- 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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