Your standard states that if the only information available is whether a person is white/black and male/female, then that information is too vague to narrow down the pool of possible suspects. While I agree that "white(black)/male(female)" is a vague description, it certainly does narrow down the pool of suspects. It precludes all possible combinations except the specific stated combination (white male or black male or white female or black female).
Does political correctness trump logic and common sense?
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