Current System prioritizes people from India. From my personal experience (also see the article below[1]) people coming to the US for undergrad education usually end up in good universities.. Probably a small portion of them are going to below average private schools because their families are rich. They usually don't study STEM or they can't find jobs after graduation, you need a job first to apply for an H1B.
1. https://www.timeshighereducation.com/student/news/25-us-univ....