I ask variations on this question every year, but it always generates a good discussion.
Question: You are the Philadelphia Phillies and it is the Seventh Game of the World Series against the Boston Red Sox. You are at home in Philadelphia. To start the game, you have to pick one pitcher out of the minor leagues, from any organization, who has NEVER pitched higher than High-A. It cannot be someone drafted in 2011. Your bullpen is burned out, so you need this guy to actually pitch well: you can't pull some sort of stunt like having the guy pitch one inning and then bring in someone else. You do have your closer available, but the middle and long relief corps is depleted.
Who do you pick to start the game?