Mastering Tree Diagrams
Mathematics
Year 9
1 questions
~2 mins
0 views0 downloads
About This Worksheet
A worksheet covering Tree Diagrams for Year 9 students, focusing on probability and statistics.
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Mastering Tree Diagrams
Subject: MathematicsGrade: Year 9
Name:
Date:
Untitled Worksheet
Grade Year 9
A
Introduction
Read the brief explanation below before attempting the questions.
1.
A tree diagram is a graphical way of representing the possible outcomes of a sequence of events. It helps to calculate probabilities by breaking down complex chances into simpler, sequential steps.
[2 marks]B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Construct a tree diagram for flipping a coin twice. What is the probability of getting two heads?
[3 marks]2.
In a bag, there are 3 red and 2 blue balls. If one ball is drawn, then a second ball is drawn without replacement. Use a tree diagram to find the probability that both balls are red.
[3 marks]3.
A student rolls a die and then flips a coin. Draw a tree diagram and determine the probability of rolling a 4 and then flipping tails.
[3 marks]4.
List all possible outcomes in a tree diagram for choosing a shirt and a pair of shoes, where shirts can be 'Red' or 'Blue' and shoes can be 'Sneakers' or 'Boots'.
[4 marks]5.
A two-step process involves selecting a snack and a drink. There are 3 snacks (Chips, Chocolate, Fruit) and 2 drinks (Juice, Water). Draw a tree diagram and find the probability of selecting Chocolate and Water.
[3 marks]6.
Use a tree diagram to determine the probability of drawing a king or a queen from a standard deck of cards.
[3 marks]7.
A person randomly picks a fruit from a basket containing apples, oranges, and bananas, then picks a second fruit without replacement. Use a tree diagram to find the probability that both fruits are bananas.
[3 marks]8.
A spinner has 4 equal sections numbered 1 to 4. It is spun twice. Draw a tree diagram and find the probability that the total of the two spins is 5.
[3 marks]9.
A box contains 5 defective and 15 non-defective items. Two items are drawn without replacement. Using a tree diagram, find the probability both items are non-defective.
[3 marks]10.
Challenge: A school has 3 math teachers and 2 science teachers. A teacher is chosen at random, then a student from their class is selected at random. Draw a tree diagram and find the probability that the teacher is a math teacher and the student is in Grade 10.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet