The six faces of a die arenumbered 1,2,3,4,5 and 6. Two such dice are thrown simultaneously. In how many ways can they turn up?

Answer 1

For the first die, when it lands on 1, there are 6 possibilities for the second one (1 and 1, 1 and 2, 1 and 3, 1 and 4, 1 and 5, and 1 and 6). For the first die rolling 2, there are the same 6 options for the second die. So for all six sides of the first die, there a 6 options for the second, therefore 6 x 6 = 36 different ways.