Mastering Tree Diagrams
Mathematics
Grade 7
1 questions
~2 mins
0 views0 downloads
About This Worksheet
A worksheet covering Tree Diagrams for Grade 7 students, focusing on probability and basic data representation.
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Mastering Tree Diagrams
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Introduction
Read the brief explanation below before attempting the questions.
1.
A tree diagram is a visual way to show all possible outcomes of an event, especially when there are multiple stages. It helps in calculating probabilities by breaking down complex events into simpler parts.
0B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A coin is flipped twice. Draw a tree diagram to show all possible outcomes.
[3 marks]2.
If a die is rolled, what is the probability of rolling a number greater than 4?
[2 marks]3.
Using a tree diagram, find the probability of getting a 'Head' on the first coin flip and a '4' on the die roll.
[3 marks]4.
Draw a tree diagram for the following scenario: A bag contains 3 red balls and 2 blue balls. You draw one ball, note its color, then replace it. Then you draw again. Show all possible outcomes.
[4 marks]5.
A spinner has 4 equal sectors numbered 1 to 4. Draw a tree diagram showing the outcomes for spinning twice.
[3 marks]6.
What is the probability of spinning an even number on the first spin and an odd number on the second spin?
[2 marks]7.
A bag contains 5 red, 3 green, and 2 yellow balls. If you draw one ball, then another without replacing the first, what is the probability that both balls are green?
[4 marks]8.
A card is drawn from a standard deck. Draw a tree diagram showing the outcomes for drawing a face card and then a number card without replacement.
[4 marks]9.
A student randomly selects a book from a shelf containing 10 fiction and 15 non-fiction books. The student then randomly picks a chapter from the chosen book. Draw a tree diagram to represent all possible outcomes.
[4 marks]10.
Challenge: A box contains 4 defective and 16 non-defective light bulbs. Two bulbs are drawn at random without replacement. Use a tree diagram to find the probability that both bulbs are defective.
[5 marks]11.
Real-world Application: A company tests two different machines producing widgets. Machine A produces 95% non-defective widgets, while Machine B produces 90% non-defective widgets. If a widget is selected at random from each machine, draw a tree diagram to compare the probabilities that both widgets are non-defective.
[5 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet