"Women are hired in low-paying jobs like 'teacher'; men get the high-paying jobs." That's not how it works. People have skills, skills they possibly paid lots

"Women are hired in low-paying jobs like 'teacher'; men get the high-paying jobs." That's not how it works. People have skills, skills they possibly paid lots of money at a University to develop. They leverage these skills into a job. Women aren't hired into low-paying jobs, they apply to these low-paying jobs. Men also apply to these low-paying jobs. And both sexes apply for the high paying jobs. So it seems less likely that some sexist cabal of HR employees is in control of the entire job market, and more likely that the ratio of women and men in each industry is not 50:50. I support efforts to bring the gender ratio closer to 50:50 in lopsided industries, I also support efforts to raise the wages of all(?) depressed industries. But I will not call the convergence of the lopsided ratios and depressed wages in an industry sexism. I don't deny sexism. I think there are many important individuals that are sexist in addition to racist, classist, etc-ist. Who is the sexist if I win every time in a game of dice against a woman?