Mastering Tree Diagrams
Mathematics
Year 9
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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
Review the key concept: A tree diagram is a visual way to list all possible outcomes of an experiment and their probabilities. The total probability at each branching sums to 1.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Draw a tree diagram to represent flipping a coin twice. Label the outcomes.
[2 marks]2.
Calculate the probability of getting exactly one head when flipping a coin twice.
[3 marks]3.
A bag contains 3 red and 2 blue balls. Two balls are drawn at random without replacement. Draw a tree diagram to show all possible outcomes and their probabilities.
[4 marks]4.
What is the probability of drawing a blue ball on the second draw, given the first was red?
[3 marks]5.
Construct a tree diagram to show all possible outcomes and probabilities when rolling a die and flipping a coin.
[4 marks]6.
If the probability of rain tomorrow is 0.3, and the probability it will be sunny is 0.5, what is the probability that it is neither rain nor sun, assuming these are the only options?
[3 marks]7.
A student flips two coins. Use a tree diagram to determine the probability that at least one head appears.
[3 marks]8.
A box contains 4 defective and 6 non-defective bulbs. Two bulbs are tested without replacement. Use a tree diagram to find the probability that both bulbs are non-defective.
[4 marks]9.
A card is drawn from a standard deck. Construct a tree diagram to show the probability of drawing a face card or a numbered card.
[3 marks]10.
Challenge: In a game, a spinner has 3 equal sectors: Red, Green, and Blue. A coin is flipped; if heads, spin again. If tails, the game ends. What is the probability that the spinner lands on Green and the coin shows tails?
[5 marks]11.
Real-world Application: A survey shows 60% of people prefer tea, and 40% prefer coffee. Among tea drinkers, 70% prefer sugar; among coffee drinkers, 50% prefer sugar. Use a tree diagram to determine the probability that a randomly selected person prefers sugar.
[5 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet