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keisanHigh-precision calculations for everyday life and work

Calculating Probability Distributions for Gacha (for Box Gacha)

Author: ExpectedValueExecutions: 149496

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For gacha boxes in mobile games and similar contexts, this calculates the probability distribution of the number of spins required to obtain a desired item.
The number N of all items contained in the box gacha
個
M: The total number of all desired items contained in the gacha box
個
Number of times to spin the box gacha: n
Times

The result is identical to the probability density function of the hypergeometric distribution.

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