It's as true in college as it is anywhere else: If you want big rewards, you have to take risks.
The typical high schooler just wants an A in AP Calculus and maybe a job as a manager someday. Those are small rewards, and they come only after you do exactly what you're told to. If you take that path, people will tell you what to do for the rest of your life.
At Stanford, the expectations are totally different. Look at what's published on its Web...