True.

But I'm guessing the children of successful business people also get, besides the money, a great education on business. More importantly, they probably inherit a great worldview of money/business, which drives them to also try and do great things.

This isn't true in every case, but it's probably true in some cases. I'm guessing any child of a person like Bill Gates might be given the kind of education which pushes him/her to great heights. Should probably check some statistics on this issue.