Will women ever be as good as men at mind sports?

I think it's just a matter of participation. If we had equal numbers of men and women playing chess and poker in serious competitions, we'd probably find that about half the time the world champions in both competitions would be women and about half the time they would be men. I think a better question is why don't we see equal numbers of men and women playing these mind sports? Do we culturally exclude women from them?