RAY: There's a baseball team that consists of 20 kids. At the end of the season, they all go to the coach's house to have a barbecue. The coach says, "You can't wear your hats at the barbecue." So, all the kids take their hats and throw them in a big pile. They fill their little faces with hot dogs and corn on the cob. At the conclusion of the evening, they all reach in at random, grab a hat and put it on their heads.
What's the probability that 19 out of 20 of these kids get their correct hat?
__________________
The Principle of Least Interest: He who cares least about a relationship, controls it.
100%! When they reach into the pile, if the hat they pull is the "wrong" hat, they simply put it on the head of the correct teammate, rathe than their own head.