Doesn't that mean the same thing? If you gave any percentage less than 100%, no matter how close to 100%, couldn't it be proven that the chances that a given finite sequence occurs within pi is more than that percentage? And couldn't that be called a guarantee?
If it's just a matter of defining terms ("guarantee") to make it true, my question is unnecessary, but I think it's a good question if we want an answer in a rigorous mathematical sense.
The chance that a given finite sequence is not in pi is less than epsilon for any epsilon, and the only nonnegative number that is less than any positive number is 0, not just 0 as a limit. So the probabily that a sequence is not within pi is 0, meaning the sequence must be within pi.