In 2013, a record-high 12% of newlyweds married someone of a different race, according to a Pew Research Center analysis of census data.
Fully a quarter of black men who got married in 2013 married someone who was not black.
Only 12% of black women married outside of their race.
In fact, your chances are much better if you live in an area with a high ratio of Hispanic individuals as opposed to anything else. Don't try to BS her and you will get a straight answer.
You'll either be told no or she'll let you lead on.
The trend toward more interracial marriages is undoubtedly related, at least in part, to changing social norms.