white privilege isn't some active force that keeps down minorities in every step of their lives.
more generally, it speaks to the fact that minorities tend to have additional obstacles and hurdles that white people simply dont have to account for. we've already seen experiments, for example, where identical job applications are submitted with different names, and the minority-named applicants get significantly less responses. white people in new york didnt really have to worry about stop and frisk when that was going on. white people are less likely to be profiled by law enforcement.
similar with sex. a guy walking to his car at night doesn't have to constantly scan his field of vision for potential threats... at least not nearly to the degree women have to. men sitting on subways or buses dont need to worry about creeps nearly as often.
these are just little things that can add up over a lifetime. but it's much less effective when you can look at individual cir stances, and say "oh that guy only succeeded because of white privilege." its more apparent on a grander scale, when you're able to look at statistics, rather than the micro scale
though if we're gonna look at a specific case a black/hispanic guy who underage drunk drove and killed people probably wouldn't have gotten away with an "affluenza" defense imho