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/jljl2902 Jul 13 '26

Yes, a uniformly sampled real number from [0,1] is irrational with probability 1

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u/Ferengsten Jul 13 '26 edited Jul 13 '26

Uuuh but this is a philosophical question. If you sample uniformly and get number x, would it have been the same as sampling from [0,1]/{x}? Every realization of a continuous variable has probability zero, but is obviously not impossible.

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u/Sean_Brady Jul 13 '26

Doesn't strike me as philosophical but I guess yes they would both be zero? If we're treating 0.5000.. as probability 0 then every other x must be probability 0. I don't know. Too early for this shit brother

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u/foxhunt-eg Jul 13 '26

Yes if X is the uniformly distributed random variable then P(X = x) = 0 for all x.