It's possible to calculate the frequency of distribution of digits of $\pi$? It's possible using mathematical formula to calculate frequency of distribution of digits of $\pi$ or other constant?
I know that there are already plenty of data available with statistics and you can extract that information, but it's actually possible to calculate it using mathematics? If yes, how?
E.g. how many zeros are in the first 1 million digits of $\pi$ or similar.

From Wolfram:

It is not known if $\pi$ is normal (Wagon 1985, Bailey and Crandall 2001), although the first 30 million digits are very uniformly distributed (Bailey 1988).

In other terms, it appears that the distribution of the digits of $\pi$ (in its decimal expansion) is still unknown.
