Privilege vs potential in college admissions

A given set of sports teams will not vary much in number of players whether the college has 2,000 students or 20,000 students, although a larger school may choose to have more sports and therefore more teams and players (but probably not ten times as many for various schools in any given NCAA division).

So athletes will consume a much larger percentage of students at a small school than at a medium size or large school.

However, the number of athletes consumes only a small percentage of students at a giant public school, even if the admission preference is large. (It is not large at some giant public schools like University of Mississippi, where Mississippi residents get automatic admission if they meet NCAA minimum academic standards, even if they are not athletes.)