i had a friend in high school who had the same two choices as you princeton and duke, he didn't get into princeton but duke accepted him with open arms.  he was quite an amazing fellow, 4.0 gpa, 1580 sat, 5's on his 3 or 4 ap exams, tennis player, blah blah blah, it was really...what's the word i'm looking for here...dumbfounding(to me)that princeton didn't want him.