On average, women are slightly better verbally and men mathematically, but it is unclear how much culture might play a role in this. For example, there are proportionately more female math competitors in China than the U.S.
Do you think one day women will be as good (or better) as men at sports like chess, poker, or go? At chess, Judit Polgar has already proved it's possible to compete with best men (she was 8 in the world at her peak). It's not hard to imagine one day some woman will beat her achievement. But on average, will women be ever as good as men?
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?
well women can be better, as good or worst than men at mind sport but if we look at the brain the men have a part that women don't have, this part make men more perseverant than woman physically (so they can train more and with better efficiency) so in a way men have more potential but potential isn't the most important thing, talent and hard work can overcome even the best potential an in society usually focus more on the mind than men so in the end you can't say there is a difference in result
For me, chess and poker are suitable only for men. My answer for your question - maybe, one day. But do not forget, if women develope their abilities, men won't sleep. Thanks for really interesting question.