Calculating the Expected Value of Gacha (for Rerolling)
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For common gacha systems in mobile games and the like, this calculates the expected number of times you’ll need to reroll before obtaining the item you want.
"Rese-mara" is short for "reset marathon." In mobile games and other games featuring gacha mechanics, it refers to the process of repeatedly installing the game app, spinning the gacha, and then uninstalling it (or, in some cases, installing it just once, spinning the gacha, and then deleting the data) until the player obtains the desired item.
Rese-mara can be viewed as a form of labor, and it is possible to calculate the hourly wage for rese-mara.
First-Time Exclusive Slot: A slot available shortly after starting the game where high-rarity items have a higher drop rate than usual.
There shall be only one First-Time Exclusive Slot.
| Expected number of reruns | Times |
| Expected Value of Gacha Spins for Rerolling | Times |
| Amount spent when purchasing one gacha spin for rerolling | yen |
| Expected value of the amount spent when purchasing gacha spins for rerolling | yen |
| Time required for rerolling | Time Minutes |
| Hourly Rate for Rerolling | Yen/hour |
Special drop rates for the first run, etc., are not taken into account.
Price per gacha pull = Number of premium stones per pull × Price per premium stone ÷ Number of premium stones per purchase
- 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 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 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 Run Duration in a Game
- Calculating Stamina in Games
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