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Aug 13, 2022 at 13:06 comment added Salcio This is so counter-intuitive ... one would guess that with 365 people probability should be much bigger. Brings to mind another problem - how many people you need in a room so that with probability of at least 0.5 two of them were born on the same day of the year. The answer is around 23.
Aug 13, 2022 at 12:28 vote accept Baban Gain
Aug 12, 2022 at 17:17 history edited Henry
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Aug 12, 2022 at 17:17 answer added Henry timeline score: 2
Aug 4, 2022 at 21:09 comment added Sassatelli Giulio You want $1-365^{-N} X_N$, where $X_N$ is the number of surjective maps $\{1,\cdots, N\}\to \{1,\cdots, 365\}$. This is $X_N=365!\left\{\begin{matrix} N\\ 365\end{matrix}\right\}$, where $\left\{\begin{matrix} n\\ k\end{matrix}\right\}$ is the Stirling number of the second kind.
S Aug 4, 2022 at 20:58 review First questions
Aug 4, 2022 at 21:04
S Aug 4, 2022 at 20:58 history asked Baban Gain CC BY-SA 4.0