The percentage of minorities that even have a chance to attend a major university, get a good paying job, etc. are much less than it is for the average white person. Debate why that is, but I don't think its too difficult to believe.
A higher percentage of whites have more resources at their disposal, many of these because of the lifestyles they grew up in. They go to better schools (ones with good teachers, generally less violence so they can concentrate on school) and generally have more money to pay for resources to help them, because of what their parents can afford, etc. Does this mean that all black kids are underprivileged and grow up in poverty, while all whites grow up in the lap of luxury? Of course not. But if you took the average white kid and the average black kid, I'd imagine, almost certainly that the white kid would be going to a better school, he'd have a family that has more money and he'd probably deal far less with discrimination on a daily/regular basis. Does this mean he does not "earn" whatever he works for? No, but he was afforded opportunities and benefits that may very well have never been open to that black kid.
Again, let me be clear, it doesn't mean that whites don't work hard or don't "deserve" what they've gotten. But to deny the fact that the average white kid has a better chance of "succeeding" (however you want to define that) and being in a position to "succeed" is simply ludicrous. To put it as simply as possible, would you trade going to school in a middle class suburb for a life where you go to an inner city school, or a poor rural school where you may never have a chance to take an AP test or be on the debate team because your school can't afford to pay for the team's travel expenses (not to mention worrying about violence in school on a regular basis)?
Having said all this, what does this do for the people who don't fit the "norm" (i.e. white kids who are poor, and black kids who are middle class to rich)? That's something AA or whatever other replacement program needs to take better into consideration. The assumption would still be that blacks have systematically been discriminated against in this country. But don't take it from me. Ask some African Americans and see what they honestly think about discimination in this country.