> It is well known the drunken sailor whos taggers to the left or right n independent random steps will, on the average, end up about sqrt(n) steps from the origin. But if there is a pretty girl in one direction, then his steps will tend to go in that direction and he will go a distance proportional to n. In a lifetime of many, many independent choices, small and large, a career with a vision will get you a distance proportional to n, while no vision will get you only the distance sqrt(n). In a sense, the main difference between those who go far and those who do not is some people have a vision and others do not and therefore can only react to the current events as they happen.
Just a tiny bit of bias towards a direction will get you very far very fast.
I once modeled+visualised this with a bit of javascript[1] and it's quite surprising to see the huge difference from even a tiny multiplication factor on each random/probabilistic decision.