Mastering Tree Diagrams

Mathematics
Grade 6
1 questions
~2 mins
0 views0 downloads

About This Worksheet

A worksheet covering Tree Diagrams for Grade 6 students, focusing on probability and basic statistics.

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Mastering Tree Diagrams

Subject: MathematicsGrade: Grade 6
Name:
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Untitled Worksheet

Grade Grade 6
A

Introduction

Read the brief explanation below before attempting the questions.
1.
A tree diagram is a visual way of showing all possible outcomes of a sequence of events. It helps in calculating probabilities by breaking down complex events into simpler steps.
0
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A coin is flipped twice. Draw a tree diagram of all possible outcomes.
[3 marks]
2.
A die is rolled once. What are the possible outcomes? List them.
[2 marks]
3.
A bag contains 3 red balls and 2 blue balls. If you pick one ball, what is the probability it is red?
[2 marks]
4.
Construct a tree diagram for drawing a card from a deck (with replacement). The deck has 4 aces and 48 other cards. What is the probability of drawing an ace?
[4 marks]
5.
In a game, a spinner has 3 colors: red, blue, and green. If you spin twice, how many possible outcomes are there? List a few.
[3 marks]
6.
If two coins are flipped, what is the probability that both land on heads?
[2 marks]
7.
Draw a tree diagram for a two-step process: first flipping a coin, then rolling a die.
[3 marks]
8.
A student randomly chooses a fruit from a basket containing 4 apples, 3 bananas, and 2 oranges. What is the probability of choosing a banana?
[2 marks]
9.
Using a tree diagram, find the probability of drawing a red card followed by a black card from a standard deck without replacement.
[4 marks]
10.
Challenge: A box has 2 defective and 8 good bulbs. Two bulbs are drawn at random without replacement. What is the probability both bulbs are good?
[4 marks]
11.
Real-world: A school has 5 teachers who prefer tea and 7 who prefer coffee. If 3 teachers are selected at random, what is the probability that exactly 2 prefer tea?
[5 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet