POW #4: Relabeling Dice

Using a normal pair of 6-sided dice, the probability of rolling a 2 is 1/36, the probability of rolling a 3 is 2/36, and so on. Relabel the sides of each die with positive integers in such a way that the new pair of dice produces the same set of probabilities (in other words, so that using the new pair of dice is equivalent to using the normal pair of dice). Note that the two alternate dice need not share the same labeling. Explain how your arrived at your labeling.


Return to Laura Taalman, Burruss 127, by 11/12/03.