The <em>correct answer</em> is:
{3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
.
Explanation:
The sample space for rolling these two spinners is:
(1, 2), (1, 4), (1, 6), (1, 8)
(2, 2), (2, 4), (2, 6), (2, 8)
(3, 2), (3, 4), (3, 6), (3, 8)
(4, 2), (4, 4), (4, 6), (4, 8)
This gives us the sums:
3, 5, 7, 9
4, 6, 8, 10
5, 7, 9, 11
6, 8, 10, 12
As a set, these are:
{3, 4, 5, 6, 7, 8, 9, 10, 11 12}