[Dylan16807]

> Almost all real numbers are normal

Well if we're being picky then I'm going to point out that almost all real numbers cannot be written down.

Of the numbers we can write down in a reasonable way, the computable numbers, we've only proven a relative handful of them to be normal in any base, and barely any normal in all bases.

So if you have an arbitrary irrational number where you can ask if it's normal, then the answer is probably "we don't know, we haven't figured out a proof", rather than "almost certainly". Those overwhelming odds about "almost all real numbers" don't apply to your number, because your number is computable.