- Section A:
- Two-way table:
- Grade 10, French: 36
- Grade 10, German: 28
- Grade 11, French: 43
- Grade 11, German: 35
- Total, French: 79
- Total, German: 63
- Total, Total: 142
- Frequency tree:
- Root: 142
- French: 79
- Grade 10: 36
- Grade 11: 43
- German: 63
- Grade 10: 28
- Grade 11: 35
- Section B, Problem 1:
- Root: 480
- Members: 288
- Gym: 216
- Pool: 72
- Non-members: 192
- Gym: 144
- Pool: 48
- Section B, Problem 2:
- Root: 960
- Self-service: 960
- Cash: 160
- Card: 800
- Cashier: 1600 (Note: This is inconsistent with the total of 960; assuming typo and using 960 total)
- Cash: 0 (since 1/10 of all customers pay cash, and all cash is at self-service)
- Card: 1600 (inconsistent; recalculated based on given ratios)
- Correction for Problem 2:
- Total customers: 960
- Self-service: 960 (given), but ratio 3:5 implies total customers = 3x + 5x = 8x = 960 → x=120
- Self-service: 360
- Cashier: 600
- Self-service, Cash: 60 (1:5 ratio, so 1/6 of 360)
- Self-service, Card: 300
- Cashier, Cash: 0 (since 1/10 of 960 = 96 pay cash, all at self-service)
- Cashier, Card: 600
- Section C:
- Root: 60 (assumed total group size for calculation)
- Teacher: 10
- Pizza: 8
- Pasta: 2
- Student: 50
- Pizza: 30
- Pasta: 20
- Probability of choosing pasta: 22/60 = 11/30
Parent Tip: Review the logic above to help your child master the concept of probability worksheet high school pdf.
