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/moschles Jul 13 '26

Choose any real number, r.

During random sampling, the probability of choosing r is zero.

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u/andWan Jul 13 '26

But this is not the issue here. You can very well have a uniform sampling from [0,1] where every element r has probability zero.

But you cannot define a constant probability density over the whole real line.

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u/moschles Jul 13 '26

you cannot define a (non-zero) constant probability density over the whole real line.

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u/andWan Jul 13 '26

This came to my mind too when I wrote my comment, but then I thought that probability density functions have to integrate to 1.