This would only be true if every game was an exact 50-50 toss up and the games were not dependent on each other. In reality, many of the matches are skewed to one side or the other (some heavily so) and certain teams have strengths and weaknesses that work better and worse against various other teams.
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Probability is 1/2^63 (each match eliminates 1 team, 63 matches to leave one champ). Or 1/(9.22 x 10^18)
This would only be true if every game was an exact 50-50 toss up and the games were not dependent on each other. In reality, many of the matches are skewed to one side or the other (some heavily so) and certain teams have strengths and weaknesses that work better and worse against various other teams.