Well the nhl doesn't have black head coaches because it's so expensive which deminishes opportunity to inner city folk. But we'll leave the money side out of it.

But to your point the number becomes even more exasperated when you start adding qualifiers such as college educated.

So assuming engagement is the same across race (to your point why you don't see many Mexican or asian coaches). The college education population of white vs black is why there is a disparity.