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keisanHigh-precision calculations for everyday life and work

Number of attempts required to complete the gacha

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Calculate the expected number of attempts required to complete the gacha (collect all items).
Number of Toy Types
Type
Expected number of attempts required to collect the entire set Times
・It is assumed that all items have an equal drop rate.
・The expected number of attempts required for n items is:
\(\hspace{20px}n \displaystyle \sum_{\small k=1}^{\small n}{\large \frac{1}{k}}=n\times (\frac{1}{1}+\frac{1}{2}+\ \cdots\ +\frac{1}{\large n})\)

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