This still seems like nonsense to me. What if you reject each black candidate (independently) with probability 0.5, and the proceed to perform a fair interview

This still seems like nonsense to me. What if you reject each black candidate (independently) with probability 0.5, and the proceed to perform a fair interview process with all remaining candidates? Surely the distribution of minimums would then be the same between all skin colours, but you end up employing half the number of black applicants that you should be.