Whites do have some degree of privilege; if a security guard is watching two people enter a store, one black and one white, statistically the black person is more likely to commit theft, and therefore the black person is also going to be viewed suspiciously and potentially made to go through hoops that a white person does not. This means that a non-criminal black person has an automatic stigma hanging over him because he happens to belong to an ethnic group that is statistically more criminal. Blacks living in black areas are required to deal with store items and cashiers behind security glass, with cops more on-edge because of a higher incidence of gun violence, etc. The problem with the concept of white privilege is that it isn't an unfair creation granted to whites due to whites, it's that it's an unfair stigma placed upon blacks due to blacks. White privilege over Asians in America, for example, is significantly reduced.