I keep on saying the term "white privilege" does not mean you get a free ride. It is one advantage that helps, it's not a free ticket to success.
My dad lived under Jim Crow so it wasn't all that long ago. The generation that fought for freedom in the 1960's is still alive and well. My dad told me he couldn't look a white man in the eye when he was young, for fear of getting a beating that would be totally allowable because of his color. THat's not my great-great-grandparents, that's my dad and I'm not that old.
Do you think having white skin has absolutely no benefits? That black skin is preferable because of affirmative action or something? There is probably nothing that I can say that will make you see what privilege is and is not.
Race relations have gotten much better since the new millennium but there are still advantages to being white, rich, tall, attractive, smart, creative, or whatever. A privilege doesn't guarantee success but it helps.