experience, the more egregious situation wasn't with a qualified student being denied admission (this happens everywhere), but with a clearly under-qualified student being granted admission. This is hard to reconcile when I know with certainty that this student — a niece of mine — had nothing on her application that stood out in any way, and yet she was granted admission while so many more highly qualified applicants were not.
I'm happy for my niece (although she has struggled academically at BYU), but it's this type of observation — the under-qualified student who gets in despite any discernible reason why — that makes it seem like the admissions process has an element of randomness to it.