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That's a bit like using a steam hammer to crack a nut.

A much simpler way of thinking about it is:

What is the chance that if I pick an infinite number of random natural numbers between 0 and 9 that all of them are 0?

You're missing the repeating fractions but it gets the flavor of what's actually happening across much better than a Lebesgue integral.



Hmm... if I pick an infinite number of random natural numbers between 0 and 9 and all of them are 0, can you prove they aren’t random?

https://www.americanscientist.org/sites/americanscientist.or...

(I kid, I kid)




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