I've no idea why you're being down-voted, let me try to add something which might clarify: yes, Warren Buffet's children are lucky to be the ones born into the family they're in. But from Mr. Buffet's perspective, there's little luck involved in having children. When he decides to have kids, someone is going to be born into that position: there's a ~100% chance that if Warren has children, they'll be born into his family.
As for the dangerous meme of "the ovary lottery": even though it's true and useful in the context of talking about estate tax, it's a very dangerous idea. It's way too easy for that meme to inhibit the idea that "if you work hard and work smart, you can create wealth", which is at the heart of the American dream, and the work ethic of the American entrepreneur. I've known one too many upper middle class kids who slack off all the time, and feel Mr. Buffet's "ovary lottery" somehow implies that the existence of inherited wealth means creating your own wealth is pointless.
Why the hell is this reply, and its parent, being downvoted? They're both insightful opinions by users who have made really insightful contributions here for a while.
As for the dangerous meme of "the ovary lottery": even though it's true and useful in the context of talking about estate tax, it's a very dangerous idea. It's way too easy for that meme to inhibit the idea that "if you work hard and work smart, you can create wealth", which is at the heart of the American dream, and the work ethic of the American entrepreneur. I've known one too many upper middle class kids who slack off all the time, and feel Mr. Buffet's "ovary lottery" somehow implies that the existence of inherited wealth means creating your own wealth is pointless.