Calculating the Expected Value of a Gacha (for General Gachas)
Author: ExpectedValueExecutions: 83607
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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 specific items you want.
Assume that all desired items have an equal probability of being obtained.
Price per gacha pull = Number of premium stones per pull × Price per premium stone ÷ Total number of premium stones purchased
This calculation applies to the scenario described in “Calculating the Expected Value of a Gacha (for Completion Gachas with Different Drop Rates),” where all drop rates are equal.
- 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 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 Gacha)
- Calculating the Expected Value of a Gacha (for Consecutive Gacha Runs)
- Verification of Gacha Drop Rates (for General Gacha)
- 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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