Sorry to be nitpicky but this stuff is interesting to me. I would think someone in the 99th percentile would have a 99% chance of being smarter than another ran

Sorry to be nitpicky but this stuff is interesting to me. I would think someone in the 99th percentile would have a 99% chance of being smarter than another random person. In a room full of 100, to be smarter than all 99 other people would be .99^99 or only around a 37% chance of being the smartest in the room. I may be off on this, as I am definitely not in the 99th percentile.