Two standard fair six-sided dice are rolled together and the score on each die is recorded. How many equally likely outcomes are there altogether?

Explanation

Every one of the 6 results on the first die can be joined by any of the 6 results on the second, so the outcomes are counted as 6 x 6 = 36 pairs. Adding 6 and 6 to get 12 counts the faces of the two dice rather than the pairs they form, and one roll of both dice always produces a pair.