Calculating Probability Distributions for Gacha (for Continuous Gacha)
Author: ExpectedValueExecutions: 14363
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[No Guaranteed Drop]: A consecutive gacha with no guaranteed drops. All slots have the same drop rate.
[Independent Guaranteed Slot]: A consecutive gacha featuring regular slots and one independent guaranteed slot. The guaranteed slot has a different drop rate than the regular slots and only yields specific items. The drop rate for the guaranteed slot remains constant regardless of the results from the regular slots.
【Dependent Guaranteed】：A gacha with a guaranteed slot where, based on a calculated number of consecutive slots, the drop rate for the remaining slot changes depending on the results of the first (calculated number of consecutive slots - 1) slots.When a guaranteed slot is actually displayed, it is for presentation purposes only. For example, suppose there is a 10-pull gacha that guarantees an SS-rarity item. If no SS-rarity item appears in the first 9 theoretical slots, an SS-rarity item is guaranteed to appear in the remaining theoretical slot; however, if one does appear, the drop rate for that remaining theoretical slot is the same as usual.When a “guaranteed slot” is actually displayed, one of the SS-rarity items that appeared in the 10 calculated slots will be shown in the actual guaranteed slot.
When the occurrence count is 2 or more, the calculation results for [Unconfirmed] and [Subordinate Confirmation] will be the same.
Price per consecutive gacha pull = Number of premium stones per consecutive gacha pull × Price per premium stone ÷ Number of premium stones purchased
- Related links
Calculating Probability Distributions for Gacha (for General Gacha)- Calculating Probability Distributions for Gacha (for Box 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 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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It displays the results for each of the three types of consecutive gacha pulls.