# 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.

Key stage:  KS 3

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.

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

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