Gallery of Dreams: Probability Calculation



I do not know how many people think we can pull a target character at least "once in 100 in 1% gacha".

That's simply false. You can find the answer below.


Lone Encounter

Encounter Ratio %
No. of Times
Probability
%


10 allies Bundles

Encounter Ratio
(1st - 9th)
%
Encounter Ratio
(10th)
%
No. of Times
Probability
%


Notes

  • Probability means the probability in which a target character can be pulled at least once.
  • The number of times in the Bundles must be multiple of 10.

Comments

  1. Can you give me example how to use it?

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  2. The encounter ratios of, say, Elga are 0.11% for 1st to 9th encounters and 3.33% for 10th encounter under Fateful Encounter (Paid 5 star Guaranteed), which is one time only (= 10 times). Now fill each values in the boxes (0.11, 3.33 and 10). Then you will see the probability that you can have Elga is 4.32%.
    Under Rebirth of the Beast King Gacha, the ratios of Suzette are 0.07% and 0.08%. If you roll gacha 100 times by 10 allies bundle, the probability is 6.9%. If you do it by a lone encounter, the probability decreases to 6.76%.
    These examples are intended for the encounter probability of 5 star not including 4 star version of 5 star characters.

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