Clearly, asking your opponent if he's Caucasian does nothing to narrow your search. Do what Katherine Heigl does when she's stacking alphabet blocks with a toddler -- suddenly attack your enemy with letters.
Ask your opponent if her character's name is before or after a nice midway point in the alphabet. For example, M. Or maybe K. Make it your own, like Katherine Heigl cutting a drifter's face off with seamstress shears.Why Does That Work?
Most players ask low-yield questions like, "Do you have a mustache?" or "Do you have blond hair?" or "Do you have lips like a horse vulva?"
"All of the abooo-oooove!!!!"
With each alphabet-related question, you remove about half the possibilities. In computers, this is called a binary search algorithm. You're basically guaranteed to be done in five questions every time. It's a little cheap, but it's less racially charged than just asking if your opponent was insane enough to pick Anne.
Anne, the Jackie Robinson of guessing.