- Complete the sample space diagram for addition: Fill the 6x6 grid with sums from 2 to 12. Row 1 (first die=1): 2, 3, 4, 5, 6, 7. Row 2 (first die=2): 3, 4, 5, 6, 7, 8. Row 3 (first die=3): 4, 5, 6, 7, 8, 9. Row 4 (first die=4): 5, 6, 7, 8, 9, 10. Row 5 (first die=5): 6, 7, 8, 9, 10, 11. Row 6 (first die=6): 7, 8, 9, 10, 11, 12.
- How many outcomes are there? 36
- What is the probability of getting a score of ‘5’? 4/36 = 1/9
- What is the probability of getting a score greater than ‘9’? 6/36 = 1/6
- What is the probability of getting a score less than ‘7’? 15/36 = 5/12
- Complete the sample space diagram for multiplication: Fill the 6x6 grid with products. Row 1 (first die=1): 1, 2, 3, 4, 5, 6. Row 2 (first die=2): 2, 4, 6, 8, 10, 12. Row 3 (first die=3): 3, 6, 9, 12, 15, 18. Row 4 (first die=4): 4, 8, 12, 16, 20, 24. Row 5 (first die=5): 5, 10, 15, 20, 25, 30. Row 6 (first die=6): 6, 12, 18, 24, 30, 36.
- How many outcomes are there? 36
- What is the probability of getting a score of ‘6’? 4/36 = 1/9
- What is the probability of getting a score greater than ‘16’? 8/36 = 2/9
- What is the probability of getting a score less than ‘4’? 5/36
- Complete the sample space diagram for subtraction (second score - first score): Fill the 4x6 grid. Row 1 (second die=1): 0, -1, -2, -3, -4, -5. Row 2 (second die=2): 1, 0, -1, -2, -3, -4. Row 3 (second die=3): 2, 1, 0, -1, -2, -3. Row 4 (second die=4): 3, 2, 1, 0, -1, -2.
- How many outcomes are there? 24
- What is the probability of getting a negative score? 12/24 = 1/2
- What is the probability of getting a score ≥ 0? 12/24 = 1/2
Parent Tip: Review the logic above to help your child master the concept of sample space worksheet 7th grade.