Question

One spinner is divided into three equal sections numbered 1 to 3. A second spinner is divided into six equal sections numbered 4 to 9. How many total outcomes are there if both spinners are spun?

○ 9
○ 12
○ 18
○ 27​

Answer 1

The numbers do not matter. There are 3 outcomes for the first spinner and 6 outcomes for the second. 6x3 is 18. For each of the 3 outcomes for the first spinner there are 6 for the second.

1,4

1,5

1,6

1,7

1,8

1,9

2,4

2,5

2,6

2,7

2,8

2,9

3,4

3,5

3,6

3,7

3,8

3,9

Answer 2

18

Explanation:

The first spinner has 3 outcomes; the second spinner has 6 outcomes independent of the first spinner's outcome. In other words, what happens to the second spinner has nothing to do with the outcome of the second spinner. There are 3 x 6 = 18 possible outcomes for both spinners.

Here's a complete list of outcomes (see the attached image).