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Calculate the Probability of Two Events Using Sample Space Diagrams

In this worksheet, students will calculate the probability of two events using sample space diagrams.

'Calculate the Probability of Two Events Using Sample Space Diagrams' worksheet

Key stage:  KS 3

Year:  Year 8 Maths worksheets

Curriculum topic:   Probability

Curriculum subtopic:   Enumerate Sets Using Tables, Grids and Diagrams

Difficulty level:  

Worksheet Overview

This activity will focus on sample space diagrams.

A sample space diagram can be used to display all possible outcomes. 

 

Example

Here is a sample space diagram showing all the outcomes when a die is rolled and a coin is flipped.

 

sample space diagram

 

We can also use sample space diagrams to find probabilities. 

 

Example

Looking at the diagram above, we could find the probability of flipping a head and rolling a 2 

 

 

On the sample space diagram we can see that there is one possible outcome out of a total of 12.

We could write that as a fraction 1/12

 

green tick

 

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