I think preflop that you're only a 20% dog a better pair. Also by having his pair so close to Barry's Aces he's in a little bit of better shape since he takes two cards away from a straight draw for Barry. It's a slight difference if Sammy had sevens. He'd be a little bit more of an underdog, maybe one percent or less.
The four percent pair over pair is with just one card to come. When calculating percent chance of winning I use this estimate outs times two plus one. If it was AA vs KK on the turn and Sammy was drawing to one of two kings, it's be a 2*2+1 = 5% chance of winning.
Re: that was the worst
The four percent pair over pair is with just one card to come. When calculating percent chance of winning I use this estimate outs times two plus one. If it was AA vs KK on the turn and Sammy was drawing to one of two kings, it's be a 2*2+1 = 5% chance of winning.