Do you have any real world experience with underprivledged people, or is this all purely theoretical for you?
Plenty of white kids have it way worse than black kids, or any other race of kid, or mixed kids. But that would require learning about the circumstances of the individual, rather than treating their 'privledge' as a pure product of their skin color.
What if the black kid is Jewish? or Episcopalian? Did you know those religious groups have much higher incomes than Catholics or Baptists? or does skin color trump religion?