I'm trying to determine to what degree digits can be predicted in irrational numbers in general.
I learned about normal numbers via this prior question: Predicting digits in $\pi$, which seems to imply that if numbers can be normal, digits may not be predictable.
If that's the case, is this an open question?
If $x$ is randomly chosen from the uniform distribution on the interval $(0,1)$, the decimal digits of $x$ are independent, and equally likely to be $0,1,2,\ldots,9$. In this sense, the digits of a random number are completely unpredictable.