Aspinner is divided into four equal sections that are numbered 2, 3, 4, and 9. the spinner is spun twice. how many outcomes have a product less than 20 and contain at least one even number?

7

Step-by-step explanation:

Considered that the spinner is spun twice, we have 16 different combinations:

2 2

2 3

2 4

2 9

3 2

3 3

3 4

3 9

4 2

4 3

4 4

4 9

9 2

9 3

9 4

9 9

I have written in bold the combinations that contain at least one even number: there are 12 of them.

Now we have to check the product of each of these combinations:

2 x 3 = 6

2 x 9 = 18

3 x 2 = 6

3 x 3 = 9

3 x 4 = 12

3 x 9 = 27

4 x 3 = 12

4 x 9 = 36

9 x 2 = 18

9 x 3 = 27

9 x 4 = 36

9 x 9 = 81

Here I have written in bold the combinations that have a product less than 20: there are 7 of them.

So, 7 out of 16 outcomes have a product less than 20 and contain at least one even number.

42 would be the answer for the question.