So I was playing MarioKart Wii on the Internet yesterday. In case you're not familiar with the game, it's a game where you select a Nintendo character (such as Mario, Luigi, Peach, or Bowser) and a car and can race against other characters (or other people). Each player involved in an Internet game can either vote for a racetrack or choose a random track. After all players make their choice, the game proceeds to randomly select a course that has been voted for (or a random course). Which poses an interesting question: if all player's choices are unknown, what is the probability that a particular course will be voted for by the player, and will be chosen by the game?