It is true that girls have a higher chance to get into college than males. But...don't we fail them [in] explorations and discoveries? For example, see how many girl astronauts exist and how many male ones? We need to put more money in promoting adventure for girls. Your take?
Anecdotally, I have no reason to think that. My the females I've raised/mentored have been admitted nearly everywhere they applied, only occasionally not being offered admission, and all the schools in question are so-called "elite." My sons and male mentorees have had the same experience. One of my sons applied to the Sorbonne and wasn't admitted, but then again, he applied there only because it's 15 minutes walking distance from our vacation flat in Paris and he was psyched about the idea of living in Paris for several years.
As you can tell from the remark about my son, I think where folks get admitted is a function of their applying to places that are good fits for them, not just because "this or that" ancillary trait of the institution appeals to them. In my son's case, I think his French being good enough only to order food in restaurants and go shopping is why he didn't get admitted. I thought the Sorbonne was an unstrategic choice for him; however, I was willing, as befits any similarly situated good parent would be, to pay for it if he got accepted and chose it over the other schools that accepted him.
On the other hand, hypocritically, I refused to pay for any of the schools he applied to on the West Coast because I simply refuse to support my kids living in an earthquake and tidal wave zone. My hypocrisy is what inspired him to apply to the Sorbonne for what he deemed, rightly, to be a reason as every bit as superficial as my reason for refusing to pay for him to go to school on the West Coast. We are both quite content with the choice he finally made. (FWIW, he has the money to pay for whatever school he wants to attend, although if he used it to pay for a West Coast school, there'd be little left upon his graduating. That apparently didn't sit well with him. LOL)
Red:
I doubt it, but checking the male-to-female ratios at the nations' colleges and universities will give a fair approximation to the answer, I suspect. I realize that enrollments aren't the same things as offers of admission, but on the face of things, I see no reason to think that acceptances of admissions offers occur at materially different rates for women than they do for men at any given or given group of schools. If they do, I suppose one could account for that in analyzing the results one obtains from such a search.
Blue:
There's no question that certain fields have been historically very heavily male dominated. Some of them, such as physics, even have had deliberate biases against women until recently.