It is said that children generally aren't seen as having a good intuition, but there are tons of intelligent kids out there. If you see what they do, you'd be amazed about their intuition, whilst they still have a small Life Experience. And believe me, I've seen a lot of dumb and smart kids too, not being capable of doing anything without reading in their book what they were going to do, but I've seen enough adults like that also.
I also don't think it's "magic power", but it's not simply explained by "Life Experience" either. It's a complicated thing and I don't think we'll be able to solve it with simple reasoning. Real research is needed for this to be solved.