The odds are one in 9.2 quintillion to have a perfect bracket.
Pssh, only if every game is 50/50. With my superior basketball knowledge I can get that down to one in 3,4 quintillion no problem. Easy money!
More seriously - anyone know if this includes the play-in (excuse me, "First Round") games? Not that it's likely to make or break somebody, but it's a pretty quick turnaround from selection day, and most public bracket pools don't let you pick them.