you roll a die, spin the spinner, and find the sum. how many different sums are possible?

Answer

Explanation:

Step1: List die values

The values on a die are 1, 2, 3, 4, 5, 6.

Step2: List spinner values

The values on the spinner are 5, 6, 7.

Step3: Find all sums

When die value is 1: sums are 1 + 5=6, 1+6 = 7, 1 + 7=8. When die value is 2: sums are 2 + 5=7, 2+6 = 8, 2 + 7=9. When die value is 3: sums are 3 + 5=8, 3+6 = 9, 3 + 7=10. When die value is 4: sums are 4 + 5=9, 4+6 = 10, 4 + 7=11. When die value is 5: sums are 5 + 5=10, 5+6 = 11, 5 + 7=12. When die value is 6: sums are 6 + 5=11, 6+6 = 12, 6 + 7=13.

Step4: Remove duplicates

The set of sums is {6, 7, 8, 9, 10, 11, 12, 13}.