Question

Jeffrey is playing a game with the two spinners below: An image of two spinners is shown. The first spinner has four sectors labeled 1, 2, 3, and 4. The second spinner also has four sectors but labeled 2, 4, 6, 8. Jeffrey will win a prize if the sum of the two spinners is an even number. What are all of the possible outcomes of spinning the two spinners?

Answer 1

We can first calculate all the possible sums and then determine the set of possible outcomes.
Possible sums are:
1+2 = 3
1+4 = 5
1+6 = 7
1+8 = 9
2+2 = 4
2+4 = 6
2+6 = 8
2+8 = 10
3+2 = 6
3+4 = 7
3+6 = 9
3+8 = 11
4+2 = 6
4+4 = 8
4+6 = 10
4+8 = 12

From the above possibilities, the outputs would belong to the set:
{3, 4, 5, 6, 7, 8, 9, 10, 11, 12}