Considering how many approaches I did when I was young, statistically I've been rejected by every race of women that exist in any remotely significant amount in the United States. If an ethnic group is even 0.5 percent of the US population, then there is an almost certainty I've approached at least one woman from that ethnic group, unless of course said ethnic group is mostly concentrated in a part of the country I didn't live in.
Voted for all of them except Australian aboriginal since they're a small enough minority that it's possible (and likely) I didn't approach one.
Supplemental: I have rejections in 7 countries and 3 continents, we're talking about real life (mostly cold) approaches. I'm an international reject.