Well, I am not sure what very rich are. I am quite not sure of the definition of rich. Let's say privileged people.
For instance, if you want to have degree in order to practice accountability or being a pharmacist, or being notaire, or being a lawyer then you need a practical internship. Since there is a limited amount of position offered, then being a «son of a» de facto gives you some priviledges that will translate in real money.
Since the state regulates these liberal professions there income are guaranteed to be above the average (given some conditions that are too long to detail, but noticeable).
So it is very tough to distinguish privileges and wealth.
I cannot measure if I am right so it is pure speculation of me. I can actually say I experienced these situations at first and second order. However I cannot say if it is that important in both frequency and impact as I claim it to be.
I am very close to hasty generalisation fallacy because it is hard to be objective when you measure the system in which you are. My point of view is not neutral at all, all the more I feel emotionally involved as an actor in what I describe. I chose to run away instead of being either the victim or the bullier (I came sadly to be both at some point but not enough to feel sad for anyone).
However, I am totally fine with my biases. Although sometimes when I tell these stories, I wonder if I am suffering of delusion because it is not my actual reality at all and it feels so impossible.