Venn diagrams – medium – Primrose Kitten

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Venn diagrams – medium

Last updated: 27/08/2021

GCSE Maths – Equivalency test Venn Diagrams Venn diagrams – medium

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Question 1 of 24

1. Question
A group of 33 adults were randomly picked. Based on the Venn Diagram, what is the probability that someone who owned a gerbil was picked?
- 8/33
- 19/33
- 15/33
- 12/33
Question 2 of 24

2. Question
A group of 55 students were randomly picked. Based on the Venn Diagram, what is the probability that a boy who drank coffee was picked?
- 5/55
- 22/55
- 12/55
- 17/55
Question 3 of 24

3. Question
A class of 42 primary school pupils were randomly picked. Based on the Venn Diagram, what is the probability that a girl was picked?
- 22/42
- 12/42
- 9/42
- 2/42
Question 4 of 24

4. Question
A class of 49 people were randomly picked. Based on the Venn Diagram, what is the probability that a boy who didn’t own a goldfish was picked?
- 17/49
- 6/49
- 23/49
- 9/49
Question 5 of 24

5. Question
What is the probability of P(A n B)?
- 2/41
- 26/41
- 14/41
- 28/41
Question 6 of 24

6. Question
A band of 32 musicians were randomly picked. Based on the Venn Diagram, what is the probability that someone who didn’t play guitar or piano was picked?
- 9/32
- 3/32
- 13/32
- 23/32
Question 7 of 24

7. Question
What is the probability of P(A u B)?
- 31/40
- 26/40
- 9/40
- 4/40
Question 8 of 24

8. Question
A class of 40 students were randomly picked. Based on the Venn Diagram, what is the probability that a girl who does not play violin was picked?
- 17/40
- 13/40
- 25/40
- 30/40
Question 9 of 24

9. Question
What is the probability of P(A n B)?
- 13/40
- 16/40
- 20/40
- 24/40
Question 10 of 24

10. Question
What is the probability of P(A u B)?
- 39/43
- 23/43
- 4/43
- 3/43
Question 11 of 24

11. Question
George surveyed his year group to see how many were boys or girls and their hair colour. He then picked one at random. What is the probability that they were a girl with blonde hair?
- 19/45
- 19/35
- 5/19
- 17/45
Question 12 of 24

12. Question
What is the probability of P(A’)?
- 17/36
- 19/36
- 7/36
- 29/36
Question 13 of 24

13. Question
Mrs White surveyed her form to see how many people liked biology and if they had black shoes. What is the probability that someone picked at random had black shoes?
- 19/41
- 24/41
- 13/41
- 4/41
Question 14 of 24

14. Question
What is the probability of P(B’)?
- 12/26
- 14/26
- 3/26
- 23/26
Question 15 of 24

15. Question
A work place was asked for their favourite colour and whether they liked chips. Based on the diagram, if someone is picked at random what is the probability that they don’t like purple?
- 26/48
- 9/26
- 13/48
- 22/48
Question 16 of 24

16. Question
What is the probability of P(A n B)?
- 9/44
- 28/44
- 19/44
- 16/44
Question 17 of 24

17. Question
A canteen surveyed its children to see what their favourite pudding and meal was. What is the probability that if someone was picked at random, their favourite meal was fish and chips?
- 37/71
- 29/71
- 12/71
- 20/71
Question 18 of 24

18. Question
What is the probability of P(A u B)?
- 31/36
- 5/36
- 29/36
- 2/36

Question 19 of 24

19. Question

Mary surveyed her local youth group to see how many had pets they had and their favourite subject, then she picked one at random. Based on the Venn Diagram, what is the probability that the person liked geography but had no pets.

8/45
8/14
4/8
14/45

Question 20 of 24

20. Question
A class of 40 people were randomly picked. Based on the Venn Diagram, what is the probability that a boy who wore glasses was picked?
- 10/40
- 18/40
- 10/40
- 13/40

Question 21 of 24

21. Question

A primary school class was asked for their favourite colour and what type of pet they had. If a child was selected at random, what is the probability they had a goldfish and their favourite colour was red?

12/71
9/71
16/71
28/71

Question 22 of 24

22. Question
A group of 35 people were randomly picked. Based on the Venn Diagram, what is the probability that a person who didn’t have green eyes or own a dog was picked?
- 13/35
- 12/35
- 22/35
- 4/35
Question 23 of 24

23. Question
A class of 46 students were randomly picked. Based on the Venn Diagram, what is the probability that someone who didn’t have brown eyes but played the violin was picked?
- 12/46
- 21/46
- 3/46
- 15/46
Question 24 of 24

24. Question
A class of 39 teenagers were randomly picked. Based on the Venn Diagram, what is the probability that someone with blue eyes was picked?
- 17/39
- 15/39
- 24/39
- 6/39

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