Tree diagrams – Medium
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Question 1 of 25
1. Question
A teacher asks their student to take out a counter. It will either be black or white. Based on the tree diagram, what is the probability that a white counter is taken out on the first go?
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Question 2 of 25
2. Question
A year 3 teacher asks one of their students to take out a ball, replace it then take another one out. It will either be blue or green. Based on the tree diagram, what is the probability that a blue ball will be taken out after a green ball is taken out first?
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Question 3 of 25
3. Question
A cat and dog owner buys food for his pets. He buys dog food and cat food on different days. The owner buys dog food on the first day, based on the tree diagram, what is the probability that on the second day he will buy cat food?
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Question 4 of 25
4. Question
A bag of coloured shapes is shaken. At random a student is asked to remove a shape and then place it back in the bag again. Then they are asked to take out another shape. What is the probability of taking out a pink shape then a purple shape?
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Question 5 of 25
5. Question
A bag of coloured counters is shaken. A student is asked to remove a shape and then place it back in the bag again. Then they are asked to take out another shape. What is the probability of taking 2 yellow shapes out?
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Question 6 of 25
6. Question
A language teacher asked her students what they thought the best language was, then they picked one student at random to answer and then selected another student to answer. what is the probability that the student picked first preferred Spanish and the second student preferred French?
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Question 7 of 25
7. Question
Mrs Smith picked a studentâ€™s name from a box and asked them on whether they prefer English or biology, then she put the name back and repeated the process. what is the probability that the student picked first said English and the second student also said English?
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Question 8 of 25
8. Question
Callum picked a studentâ€™s name from a box and asked them on whether they prefer physics or history, then he put the name back and repeated the process. What is the probability that the student picked first said Physics and the second student said History?
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Question 9 of 25
9. Question
Jeff asked his students what they thought the best subject was, then he picked one student at random to answer a question based on that subject and picked a second student to do the same. What is the probability that the student picked first said German and the second student said Tech?
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Question 10 of 25
10. Question
Darren asked members of the public what their favourite colour was between green and black. Out of the people he questioned, he picked 2 of them at random to receive a prize. What is the probability that the first person he picked said green and the second person he picked said black?
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Question 11 of 25
11. Question
Percy asked members of the public what their favourite colour was between blue and brown. Out of the people he questioned he picked 2 of them at random to receive a prize. What is the probability that the first person he picked said blue and the second person he picked said Brown?
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Question 12 of 25
12. Question
Jacqueline asked members of the public what their favourite colour was between gold and silver. Out of the people she questioned she picked 2 of them at random to receive a prize. What is the probability that the first person she picked said gold and the second person she picked also said gold?
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Question 13 of 25
13. Question
Barry surveyed staff at various shops with generic questions. He also recorded their hair colour. Out of the people he questioned, he picked 2 of them at random to receive a prize. What is the probability that the first person he picked had blonde hair and the second person he picked had black hair?
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Question 14 of 25
14. Question
A primary school teacher asked one of their students to pick a shape out of a box, and then picked a second student to do the same. What is the probability that the first student took out a circle and the second student took out a triangle?
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Question 15 of 25
15. Question
A primary school teacher asked one of their students to pick a shape out of a sack and then return it, then they picked a second student to do the same. What is the probability that the first student took out a hexagon and the second student took out a hexagon?
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Question 16 of 25
16. Question
Lilly surveyed staff at various charity shops with generic questions. She also recorded their hair colour. Out of the people she questioned, she picked 2 of them at random to receive a prize. What is the probability that the first person she picked had white hair and the second person she picked also had white hair?
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Question 17 of 25
17. Question
A secondary school teacher asked one of their students to pick a shape out of a tub and return the shape, then they picked a second student to do the same. What is the probability that the first student took out a Sphere and the second student took out a Prism?
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Question 18 of 25
18. Question
An animal lover wanted to create an experiment to do with popularity of animals. They then asked people what their favourite animal was. He randomly selected 2 of the results. What is the probability that he firstly selected someone who said cat, then someone who said horse?
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Question 19 of 25
19. Question
Harry asked his students what they thought the best subject was. He then he picked one student at random to answer a question based on that subject and picked a second student to do the same. What is the probability that the student picked first said Maths and the second student also said Maths?
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Question 20 of 25
20. Question
Jessica mixed some numbers into a box and shuffled them. She then asked a student to pick a number out of the box, replace it, then repeat the process. What is the probability that the first time an even number was picked and then an odd number was picked?
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Question 21 of 25
21. Question
A cafĂ© shop owner asks their customers which is better, tea or coffee. Then 2 of the customers were randomly picked based on what they said. What is the probability that the first customer said tea and the second customer said tea as well?
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Question 22 of 25
22. Question
A music composer needed to recruit two new instrumentalists to play in his band. He placed an advert in the newspaper and randomly picked two of the people. Based on the tree diagram, what is the probability that he picked someone who played the piano and then another person who played the piano as well?
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Question 23 of 25
23. Question
Millie asks her music class what their favourite instrument is and notes down the answers. She puts them in a hat and picks one at random, puts the answer back in, then repeats the process. What is the probability that the first answer is drums and the second answer is violin?
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Question 24 of 25
24. Question
An animal lover wanted to create an experiment to do with popularity of animals so he asked people what their favourite animal was. He randomly selected 1 of the results from a hat, then puts it back and repeats the process. What is the probability that he first selected someone who said lion, then selected someone who said lion as well?
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Question 25 of 25
25. Question
A sack contains sweet and salty popcorn. John takes out a bag, notes the flavour, returns it and then repeats this step. What is the probability that after picking sweet popcorn, he will then pick a bag of salty popcorn?
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