Tree diagrams – Hard – Primrose Kitten

Tree diagrams – Hard

Last updated: 20/07/2021

GCSE Maths – Higher Tree diagrams Tree diagrams – Hard

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Question 1 of 25

1. Question
A class had to fill out a questionnaire. One person was picked at random to fill it out first. What is the probability that the person was a boy who wore glasses?
- 0.2
- 0.35
- 0.15
- 0.3
Correct

Incorrect
Question 2 of 25

2. Question
A class had to fill out a questionnaire. One person was picked at random to fill it out first. What is the probability that the person was a girl who had ginger hair?
- 0.1
- 0.2
- 0.3
- 0.4
Correct

Incorrect
Question 3 of 25

3. Question
A class were asked on their hair colour and gender in a survey. What is the probability that the person was a boy who had brown eyes?
- 0.2
- 0.42
- 0.18
- 0.8
Correct

Incorrect
Question 4 of 25

4. Question
A year 3 class were observed on their eye colour and then a student was picked at random. What is the probability that the person was a girl who had green eyes?
- 0.12
- 0.18
- 0.63
- 0.07
Correct

Incorrect
Question 5 of 25

5. Question
A class were asked on whether they prefer sweet or savoury food, then one person was selected at random. What is the probability that the person was a girl who liked sweet food?
- 0.35
- 0.1
- 0.4
- 0.15
Correct

Incorrect
Question 6 of 25

6. Question
The weather forecast was shown for the next day. Based on the Tree Diagram, what is the probability that it would rain but not be cloudy?
- 0.06
- 0.7
- 0.24
- 0.35
Correct

Incorrect
Question 7 of 25

7. Question
The weather forecast was predicted for the next day. Based on the Tree Diagram, what is the probability that it would be cloudy when it isn’t snowing?
- 0.16
- 0.08
- 0.64
- 0.12
Correct

Incorrect
Question 8 of 25

8. Question
A survey was sent out regarding pets to members of the public. One person who had filled in the survey was chosen at random. What is the probability that the person owned a female cat?
- 0.42
- 0.18
- 0.16
- 0.24
Correct

Incorrect
Question 9 of 25

9. Question
Member of the public were asked whether their hamster or gerbil was a male or female. Then one person was chosen at random. What is the probability that the person owned a male hamster?
- 0.3
- 0.12
- 0.6
- 0.28
Correct

Incorrect
Question 10 of 25

10. Question
A class had to fill out a questionnaire about their favourite drink. One person was picked at random to reveal their answer. What is the probability that the person was a girl who liked fizzy drinks?
- 0.3
- 0.35
- 0.2
- 0.15
Correct

Incorrect
Question 11 of 25

11. Question
What is the probability that it will hail and be below 10°c?
- 36%
- 40%
- 27%
- 90%
Correct

Incorrect

Question 12 of 25

12. Question

Some coloured counters were placed in a bag. Two students were asked to take a counter out of the bag each, randomly, without replacing it. What is the probability that the first student took out an orange counter and the second student took out a purple counter?

8/30
12/30
2/30
10/30

Correct

Incorrect

Question 13 of 25

13. Question

Some coloured balls were placed in a tub. Two year 6 students were asked to take a counter out of the tub each, randomly, without replacing it. What is the probability that the first student took out a green ball and the second student didn’t take out a green ball?

21/90
6/90
42/90
27/90

Correct

Incorrect

Question 14 of 25

14. Question

Some coloured shapes were placed in a sack. Two members of the public were asked to take a shape out of the tub each randomly, without replacing the shape. What is the probability that the first person took out a brown shape and the second person didn’t take out a red shape?

6/56
15/48
20/56
35/48

Correct

Incorrect

Question 15 of 25

15. Question

Some coloured pencils were placed into a box. Two sixth form students were asked to take a pencil out of the box each, randomly, without replacing the pencil. What is the probability that the first student took out an orange pencil and the second student took out a blue pencil?

10/42
2/42
20/42
32/42

Correct

Incorrect

Question 16 of 25

16. Question

Some coloured balls were placed in a bag. Two students from a school were each asked to randomly take a ball out of the bag, without replacing it. What is the probability that the first student took out a black ball and the second student didn’t take out a black ball?

4/20
0/20
12/20
16/20

Correct

Incorrect

Question 17 of 25

17. Question

Some coloured shapes were placed in a box. Two members of the public were asked to take a shape out of the box each, randomly, without replacing it. What is the probability that the first person didn’t take out a pink shape and the second student didn’t take out a white shape?

12/56
2/56
30/56
42/56

Correct

Incorrect

Question 18 of 25

18. Question

A survey was done to see which fruit was best, apple or pear. Members of the public answered which fruit they thought was best in the survey. Afterwards, two of those people were picked. What is the probability that the first person picked said apple and the second person picked said pear?

20/72
8/72
12/72
32/72

Correct

Incorrect

Question 19 of 25

19. Question

A survey was done to see which fruit was best, orange or banana. A year 3 class answered which fruit they thought was best. Afterwards, two of those students were picked. What is the probability that the first student picked said banana and the second student picked said banana as well?

2/42
32/42
20/42
10/42

Correct

Incorrect

Question 20 of 25

20. Question

A survey was done to see which fruit was best, grape or banana. Some university students said which fruit they thought was best, in the survey. Afterwards, two of those students were picked. What is the probability that neither person said grape was their favourite?

2/72
14/72
42/72
28/72

Correct

Incorrect

Question 21 of 25

21. Question

A survey was done to see which fruit was best, plum or apricot. Members of the public said which fruit they thought was best in the survey. Afterwards, two of those people were picked. What is the probability that the first person picked said plum and the second person picked said plum as well?

2/20
8/20
6/20
12/20

Correct

Incorrect

Question 22 of 25

22. Question

A survey was done to see which fruit was best, Kiwi or Lemon. A year 12 class said which fruit they thought was best, in the survey. Afterwards, two of those students were picked. If the first student said Kiwi, what is the probability that the second student said kiwi?

Correct

Incorrect

Question 23 of 25

23. Question

A questionnaire was done to see what drink was best, hot or fizzy. Members of the public said which drink they thought was best. Two of those people were then picked. If the first person said fizzy drinks, what is the probability that the second person said hot drinks?

Correct

Incorrect

Question 24 of 25

24. Question

A survey was done to see what drink was best, fizzy or water. A class of year 6 students said which drink they thought was best. Then two of those students were picked. If the first student said water, what is the probability that the second student said water?

Correct

Incorrect

Question 25 of 25

25. Question

A class of year 10 students were asked on their hair colour in a survey, then 2 people were picked at random. What is the probability that the first person had ginger hair and the second person had brown hair?