Grids: Mixed Review on Sample Space Diagrams
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet reviewing the use of grids to understand sample space diagrams for two events, including procedural, reasoning, and real-world questions.
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Full preview • 12 questions
Grids: Mixed Review on Sample Space Diagrams
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Construct a 4x4 grid to represent all possible outcomes of flipping a coin twice and rolling a six-sided die. Label the axes accordingly.
[4 marks]2.
If 3 out of the 16 outcomes in your grid show rolling an even number and getting heads, what is the probability of this combined event?
[2 marks]3.
Plot the outcomes where a student draws a card from a deck (numbered 1-10) and spins a spinner with outcomes {Red, Blue}. Use a 10x2 grid to show all possibilities.
[4 marks]4.
In your grid, shade the cells where the outcome is an odd number and the spinner shows 'Red'. Count the shaded cells and find the probability.
[3 marks]5.
A box contains red and blue balls. You randomly select one ball and then flip a coin. Construct a 2x2 grid representing all outcomes. If 1 red ball and 1 blue ball are equally likely, and the coin flip is fair, what are the probabilities of selecting a red ball and flipping heads?
[4 marks]6.
Identify and correct the mistake in this probability grid: The grid shows 12 outcomes, but the total should be 16. What went wrong?
[3 marks]7.
Construct a grid to show the outcomes of drawing two marbles without replacement from a bag containing 3 red and 2 green marbles. Label outcomes and determine the probability of drawing two green marbles.
[4 marks]8.
Using your grid, find the probability of either drawing at least one red marble or getting heads from flipping a coin twice (consider combined events).
[3 marks]9.
Given a grid showing outcomes of two events, explain how to determine the probability of both events occurring simultaneously. Use an example from your grid.
[3 marks]10.
A spinner divided into 4 equal parts (Red, Blue, Green, Yellow). Construct a grid showing the outcomes of spinning twice. Which two outcomes have the lowest combined probability?
[4 marks]11.
A die is rolled and a coin is flipped. Construct a 6x2 grid to represent all outcomes. If the die shows a 6, what is the probability the coin lands on tails?
[3 marks]12.
Challenge: Design a grid for three events—drawing a card (A), flipping a coin (B), and rolling a die (C). How many outcomes are in the total sample space? Show your reasoning.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet