حل السؤال 5، 4MA1/2F يونيو 2024: الأحداث المركبة باستخدام الجداول ذات الاتجاهين

1. 1Each score is the spinner B number minus the spinner A number
2. 2Row 5: 5 − 1 = 4, 5 − 1 = 4, 5 − 2 = 3, 5 − 3 = 2
3. 3Row 7: 7 − 1 = 6, 7 − 1 = 6, 7 − 2 = 5, 7 − 3 = 4
4. 4Row 8: 8 − 1 = 7, 8 − 1 = 7, 8 − 2 = 6, 8 − 3 = 5
5. 5Row 9: 9 − 1 = 8, 9 − 1 = 8, 9 − 2 = 7, 9 − 3 = 6
6. 6Row 11: 11 − 1 = 10, 11 − 1 = 10, 11 − 2 = 9, 11 − 3 = 8
7. 7The completed table, row by row, is 4, 4, 3, 2 / 6, 6, 5, 4 / 7, 7, 6, 5 / 8, 8, 7, 6 / 10, 10, 9, 8

AnswerReading across each spinner B row against the spinner A columns 1, 1, 2, 3 — row 5: 4, 4, 3, 2; row 7: 6, 6, 5, 4; row 8: 7, 7, 6, 5; row 9: 8, 8, 7, 6; row 11: 10, 10, 9, 8

1. 1The table has 4 × 5 = 20 equally likely scores
2. 2Even scores in row 5: 4, 4, 2 — that is 3
3. 3Even scores in row 7: 6, 6, 4 — that is 3
4. 4Even score in row 8: 6 — that is 1
5. 5Even scores in row 9: 8, 8, 6 — that is 3
6. 6Even scores in row 11: 10, 10, 8 — that is 3
7. 7Number of even scores = 3 + 3 + 1 + 3 + 3 = 13
8. 8P(score is even) = 13/20

Answer13/20

1. 1The scores greater than 7 are 8 and 8 in row 9
2. 2and 10, 10, 9 and 8 in row 11
3. 3Number of scores greater than 7 = 2 + 4 = 6 out of 20
4. 4P(score is greater than 7) = 6/20

Answer6/20