Answer to POW #4:

Label the first die 1, 3, 4, 5, 6, 8 and the second die 1, 2, 2, 3, 3, 4. With this labeling, the probability of rolling a sum of 2 is still 1/36, the probability of rolling a sum of 3 is still 2/36, and so on.

Source: "Solve This: Math Activities for Students and Clubs", an MAA publication by James Tanton.