There are many experiences a white person, a black person, a gay person, etc can have. I'm not saying there is a singular black experience, but as I've already pointed out, "the black experience" is a term used by black Americans with
very particular connotations. Sure, there's always a spectrum at play. A black kid could grow up in a stable middle-class family in a white neighborhood, avoiding certain negative experiences, but still dealing with racism, "DWB" as Homer mentioned above, etc. Others could grow up in Gary, Indiana.
The "white experience" you described is not one I experienced, correct, I've thankfully lived a pretty comfy life. I personally wouldn't use that term to describe it simply because it would be confusing; the "black experience" is already a well-used term by black writers to describe particular circumstances of their lives. To those people, a white experience would be given breaks when pulled over by cops, not being shot when you try to pull a cell phone out of a pocket, not being killed by gangs just off of your high school campus, etc. However, I don't really care about the semantics of what phrase you use to describe it. The "white trailer trash experience" certainly is another kind of experience; a white guy that grows up surrounded by meth-addicts and Klansmen has a drastically different experience from my own. Carson contributed easily enough context in the op to show what he's referring to; a kind of poverty, culture, etc found to particularly effect certain black communities.
I decided to look up the transcript that this all came from, and I think Carson was pretty clear about where he was going with it.
http://www.politico.com/story/2016/...cos-glenn-thrush-interviews-ben-carson-219644
If you want to say that Carson sounds like a sore loser or something, fine, whatever. It goes without saying that Obama, putting aside what anyone thinks of his actual politics, is a very smart and accomplished guy and worked as hard as anyone to become President. Even if he was the most privileged black guy in the world, plenty of others could have taken their opportunity and just coasted through life on it. Despite that, the context shows that Carson was speaking from the perspective of being able to identify with Obama, and that he sees class and upbringing as greater hurdles than skin color alone.