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Aug 12, 2021 at 2:23 comment added Gerry Myerson Reminds me of en.wikipedia.org/wiki/Concentration_(card_game)
Aug 10, 2021 at 20:17 comment added Iosif Pinelis @SamHopkins : I agree that being nontrivial may by itself be not enough for MO. However, it was also said that "very similar near-coincidence problems were studied by some prominent probabilists" (which actually surprised me a bit.) Since similar problems were studied in published research, I think the above post is fine for MO.
Aug 10, 2021 at 18:57 comment added Sam Hopkins @IosifPinelis: I mean, I would say the birthday problem itself is not trivial. But if your comment is implicitly about "is this question a good fit for MO?" then I would say plenty of math is not trivial, but is standard, and for that reason might not be the best for MO.
Aug 10, 2021 at 18:16 comment added Iosif Pinelis It appears that this problem is not trivial, and very similar near-coincidence problems were studied by some prominent probabilists -- thank you kodlu again for the reference to statistics.stanford.edu/research/methods-studying-coincidences
Aug 10, 2021 at 14:44 vote accept Dominic van der Zypen
Aug 10, 2021 at 14:40 answer added Iosif Pinelis timeline score: 2
Aug 10, 2021 at 13:42 comment added Sam Hopkins I think this is very close to the "birthday problem" (en.wikipedia.org/wiki/…) and as such your $E_n$ should grow like $\sqrt{n}$, not $\log(n)$.
Aug 10, 2021 at 11:08 history asked Dominic van der Zypen CC BY-SA 4.0