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You need to clarify with facts, AA woman as of 2014, represented only of 1% of sororities, in the Alabama system.
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You’re excluding the several Alabama sorority houses that are nearly all Black. Most black women prefer to rush the Black Houses because of “family tradition.” Their parents expect them to join “their” houses.
You don’t seem to understand that AA’s have STRONG loyalties to their houses because of their network system. You will rarely see a white adult with their Greek letters on their cars or clothes, but you will frequently see AA adults with their Greek letters on their cars and sweatshirts.
You also don’t seem to realize that the Alums of the Black Houses are NOT happy with the idea of White Houses recruiting “their” students. They see it as an attempt to weaken (or destroy) their traditions and networks.
Yes, of course the % of AA women in the traditionally White sororitiies will be low, for the above reason, but also since recruitment efforts are new. Only 2 classes of rush have more agressively recruited AA members. But, it will only take a few cycles for the numbers to grow.