21 judges give 4 contestants a 4, 3, 2, or 1. How often is there a first place tie?
June 24, 2008 11:22 AM Subscribe
Imagine a contest, with 21 judges and 4 contestants. Judges must give one contestant 4 points, one contestant 3 points, one contestant 2 points, and one contestant 1 point. The winner is decided by summing the scores of all 21 judges. Mathematically speaking, what percentage of the time would you expect there to be a tie for first place after all 21 scores have been added?