No, it depends on the family, we are a very rich family and I never went as my dad beleives if a child wants to learn then a child can no matter where educated you can't make a child highly educated by buying their education and thry don't want it. I left school a state school with 4 A levels im 39 now have a family etc have only now decided uni is for me! I would rather be happy with my lot in life and why leave uni with student debt when I could earn money and live comfortably with my own family and have a house of my own!
Most do because education is very important in our society so many rich people go to private school to get a better education because have the funds to do so.
Since you asked " do ALL people who are rich go to private schools?"
The answer is NO...
Best of luck
Mostly yes. It depends if they believe in the public schooling or not
I'd say a good 85%
no