1. Probability: Probability from Venn Diagrams
Silent
Teacher
Intelligent Practice
Narration
Your Turn
Practice

2. 𝑨 𝑩 𝑨 𝑩 1 1 4 5 2 2 3 3 Worked Example Your Turn 𝑃 𝐴 = 𝑃 𝐴′ = 𝑃 𝐵 =
𝑃 𝐵′ =
𝑃(𝐴∩𝐵)=
𝑃(𝐴∪𝐵)=
𝑃 𝐴 =
𝑃 𝐴′ =
𝑃 𝐵 =
𝑃 𝐵′ =
𝑃(𝐴∩𝐵)=
𝑃(𝐴∪𝐵)=
@mrbartonmaths

3. 𝑃 𝐴
𝑃 𝐴′
𝑃 𝐵
𝑃 𝐵′
𝑃(𝐴∩𝐵)
𝑃(𝐴∪𝐵) 𝑨 𝑩 4 2 3 1 𝑨 𝑩 5 2 3 1 𝑨 𝑩 5 1 3 1

4. 𝑃 𝐴
𝑃 𝐴′
𝑃 𝐵
𝑃 𝐵′
𝑃(𝐴∩𝐵)
𝑃(𝐴∪𝐵) 𝑨 𝑩 5 1 2 1 𝑨 𝑩 5 1 2 𝑨 𝑩 5 1 2 3

5. 𝑃 𝐴
𝑃 𝐴′
𝑃 𝐵
𝑃 𝐵′
𝑃(𝐴∩𝐵)
𝑃(𝐴∪𝐵) 𝑨 𝑩 5 1 3 3 𝑨 𝑩 3 1 5 3 𝑨 𝑩 6 2 10 6

6. 𝑃 𝐴
𝑃 𝐴′
𝑃 𝐵
𝑃 𝐵′
𝑃(𝐴∩𝐵)
𝑃(𝐴∪𝐵) 𝑨 𝑩 2 10 6 𝑨 𝑩 10 2 6 𝑨 𝑩 10 6

7. 𝑃 𝐴
𝑃 𝐴′
𝑃 𝐵
𝑃 𝐵′
𝑃(𝐴∩𝐵)
𝑃(𝐴∪𝐵) 𝑨 𝑩 10 𝑨 𝑩 10 𝑨 𝑩 10

8. 𝑃 𝐴
𝑃 𝐴′
𝑃 𝐵
𝑃 𝐵′
𝑃(𝐴∩𝐵)
𝑃(𝐴∪𝐵)
7 10
3 10
5 10
9 10
8 11
3 11
5 11
6 11
10 11
8 10
2 10
4 10
6 10 𝑨 𝑩 4 2 3 1 𝑨 𝑩 5 2 3 1 𝑨 𝑩 5 1 3 1

9. 𝑃 𝐴
𝑃 𝐴′
𝑃 𝐵
𝑃 𝐵′
𝑃(𝐴∩𝐵)
𝑃(𝐴∪𝐵)
7 9
2 9
3 9
6 9
8 9
7 8
1 8
3 8
5 8
2 8 1
7 11
4 11
3 11
8 11
2 11 𝑨 𝑩 5 1 2 1 𝑨 𝑩 5 1 2 𝑨 𝑩 5 1 2 3

10. 𝑃 𝐴
𝑃 𝐴′
𝑃 𝐵
𝑃 𝐵′
𝑃(𝐴∩𝐵)
𝑃(𝐴∪𝐵)
8 12
4 12
3 12
9 12
6 12
5 12
16 24
8 24
12 24
10 24
18 24 𝑨 𝑩 5 1 3 3 𝑨 𝑩 3 1 5 3 𝑨 𝑩 6 2 10 6

11. 𝑃 𝐴
𝑃 𝐴′
𝑃 𝐵
𝑃 𝐵′
𝑃(𝐴∩𝐵)
𝑃(𝐴∪𝐵)
10 18
8 18
12 18
6 18
2 18
16 18
10 16
6 16 1 𝑨 𝑩 2 10 6 𝑨 𝑩 10 2 6 𝑨 𝑩 10 6

12. 𝑃 𝐴
𝑃 𝐴′
𝑃 𝐵
𝑃 𝐵′
𝑃(𝐴∩𝐵)
𝑃(𝐴∪𝐵) 1 𝑨 𝑩 10 𝑨 𝑩 10 𝑨 𝑩 10