# Number sequence is present in the decimal expansion of pi?

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

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 $$(0.1)^{k}$$.