Free throw shooting is one of my favorite topics. It's the whole relaxed concentration aspect of it: can you focus enough so that the years of practice undertaken to train the unconscious self to shoot override the conscious self's desire to take control of the situation at hand? To me, this battle of the two minds within the individual is the essence of sport: you know how to make the shot, you know you can make the shot, but will you make the shot? Free throw shooting lays this battle bare for all to see. It's the same shot every single time (and the easiest way to score a point in sports), you don't have to be in top physical shape to shoot it, and yet a surprising amount of professional basketball players can't make more than every two out of three attempts.
So, as for Gene Weingarten's assertion (via truehoop) that if an average person took a year to practice, he could beat the best free throw shooter in the NBA, I say "hell yes". Maybe a retired podiatrist would be a worthy candidate: 71-year-old Tom Amberry shot 2,750 in a row in 1993. Amberry was a star college basketball player and was offered a contract with the Lakers after WWII, so maybe that's not fair...but just look at the guy.