What do we mean when we talk about race? Genetics, culture or a combination? Is it possible to quantify the nature/nurture relevance ratio? How about a child born from a black and a Jew, raised in Asia by a foster family? Which "race" do they get stamped on their Interwebz passport?
Culture results from genetics and environment. So, all of them. Yes. That kid is fucked. Also show me one instance in the entire world of that particular combination, just for kicks.
It's like an Inuit posting here. Theoretically possible.