Number sequence is present in the decimal expansion of pi?

[the4thamigo_uk]

Is it true that every possible finite number sequence is present in the decimal expansion of pi?

 

[SW VandeCarr]

Is it true that every possible finite number sequence is present in the decimal expansion of pi?

I don't think there's any way to prove that. It's a completely determined sequence to the nth digit. I think you can only talk about the characteristics of what actually has been calculated.

For a truly random infinite sequence, you could say that any finite subsequence of digits has a non-zero probability of occurring. For a uniform distribution (each digit 0-9 has the same probability of occurring), the probability of any given sequence of length k occurring is $$(0.1)^{k}$$.