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this post was submitted on 12 Nov 2023
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Showerthoughts
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I think it's right
Edit:
TIL: when saying random numbers, some people think to integers, others to real numbers.
I also think that's correct... if we are talking about real numbers.
People are probably thinking about integers. I'm not sure about OP.
EDIT: I think it also works with p-adic numbers.
Yes real numbers, but as far as I'm aware it'll happen for integers too almost surely
I think you're confusing "arbitrarily large" with "infinitely large". See Wikipedia Arbitrarily large vs. (...) infinitely large
For integers I disagree (but I'm not a mathematician). The set of integers with infinite digits is the empty set, so AFAIK, it has probability 0.