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Comment on “Are you the one?” is free money

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Score Probability
0 0.3679
1 0.3679
2 0.1839
3 0.0613
4 0.0153
5 0.0031

For 0, it's a well known [1] result 1/e, I remember a puzzle where people left their hat and then pick one randomly.

Looking at the table it looks like the general formula is 1/(e*n!) that is a Possion distribution. Compare with https://en.wikipedia.org/wiki/Poisson_distribution#Examples_...

Anyway, I'm not sure if my observation helps too much to solve the original problem.

[1] at least I know it :)

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