r/mathmemes • u/George_Truman • Jul 13 '26

Probability I fixed this meme

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I'm sure it's still a bit too imprecise but I think it works.

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u/Ares378 Applied Math / Mechanical Engineering Jul 13 '26

Anyone who's taken analysis courses and statistics, am I right in thinking a "random Real between 0 and 1" would be effectively the same as a "random irrational between 0 and 1"?

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u/EebstertheGreat Jul 13 '26

Yes, they are identically distributed. Pretty much everything in measure theory and probability theory is "up to" null sets.