I took graduate level math classes a few years ago at a major university and there were significantly more women in those classes than men. I also worked in structural engineering for over eight years and more and more women have been entering that field and excelling in the work AND enjoying it very much.
In my family, multiple women from all different generations have been in the military and law enforcement. I have a niece who served in Iraq. My mother met my dad when they were both serving in the U.S. Navy.
The very first computer programmer, Ada Lovelace, was a woman, and let's not forget Madam Curie, who won a Nobel prize in physics and another in chemistry, and was the first person to receive it twice.
The differences in people are not due to simply being male or female. That's far too simplistic and has largely been debunked. Men are not from Mars nor women from Venus. Male or female is just one among many features that make each and every person unique, and not even really all that important in the larger scheme of things unless you are trying to create offspring.
And if you think people usually work in what they like, you probably haven't seen the data:
The World's Broken Workplace
Only 15% of employees WORLDWIDE are truly engaged in their jobs.