ABSTRACT
If you have access to some dice, go ahead and grab six standard 6-sided dice and roll them. Without even seeing the exact dice that you rolled, I’m pretty sure that you rolled at least two of the same number (for the approximately 1.5% of you that rolled exactly one of each number, I apologize for being incorrect). How did I know that? The behavior of (fair) 6-sided dice is pretty easy to model – if you were talking to a friend, you would probably say that each of the six numbers is equally likely to be rolled. After that, it only takes a modest understanding of the rules of probability to determine the “expected” probability that, when rolling six dice, you will get exactly one of each number. As a side note, the chance of getting exactly one of each number is just slightly more common than the probability of being born a twin (in North America at least) and slightly less common than drawing the A♠ from a thoroughly shuffled deck of cards with jokers included!
