This sounds similar to how many large orgs try to put in place 'fair' promotion practices.
It turns out that the easiest, and probably fairest, is to just eliminate the candidates that obviously do not make the cut, and then have a lottery of the remaining candidates.
I recall going to a very good state engineering school. Because it was a state school, it had to accept a certain number of people from each school district in the state. It was not a policy that worked out well for the students who were from weak districts. They flunked out or transferred to less rigorous programs. They were obviously smart, but completely unprepared. They would have been much better off going to a community college and getting prepared, then transferring in.