Setting aside, for the moment, that Ken Pomeroy's rankings inexplicably have Georgetown ranked #1 and UNC #2, I thought the prediction for the rest of UNC's schedule was quite interesting.
Pomeroy predicts a 28-2 overall record with a 14-2 mark in the ACC. This is generally attributed to unknown factors which cannot accounted for with a formula. That being said, notice that UNC's "worst" chance of winning a game is at Duke where Pomeroy puts the odds at 56% and predicted a two point Tar Heel win. Outside of that he gives UNC a 79% chance of winning at Wake, 77% at Miami and 82% versus Duke at home. The rest of the games are 90% or better with two games(Valpo and Rugers) being called 100%.
The money number is at the bottom. UNC is given a 12% chance at going unbeaten and 13% in the ACC. Given the difficulty of the task, those are actually good odds.