The probability argrment given above leads to the conclusion that any randomly selected sequence of finite length MUST exist somewhere in PI. Since PI has been shown to be a random sequence of INFINITE length, you can find a infinite number of finite length sequences embedded in PI. Therefore if you randomly select a FINITE length sequence of digits you have an INFINITE number of subsquences of PI to compare to, irregardless on the length of your subsequence you MUST find it somewhere as everypossible combintation of sequences of that length must exist in PI. (OR e for that matter!)