fun fact: it's remarkably hard to prove that a number is normal

it's strongly suspected that a lot of constants like e and π are normal but this has not been proven

in fact, the only numbers known to be normal are the numbers explicitly constructed to be normal
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this is particularly striking when you realize that almost all numbers are normal (a fact which can and has been proven)

that is, if you were to choose a number at random from a number line, the probability that it would be a normal number is 1
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