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Abdiel_Kavash t1_iyk8ppt wrote

That is not how it works. You can have an infinite number of events, out of which each event repeats only finitely many times.

Example: There are infinitely many natural numbers. Only one of them is equal to 2.

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jqbr t1_iyl5dsr wrote

No, that does not follow. Consider that rational fractions like 1/7 have infinite decimal expansions but only a very small number of patterns occur. Even for irrational numbers with non-repeating expansions like pi or sqrt (2) we can't be certain that every pattern occurs.

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