Loading please wait

The smart way to improve grades

Comprehensive & curriculum aligned

Try an activity or get started for free

Use Sample Space Diagrams to Calculate Probability

In this worksheet, students will determine the possible outcomes of two events by using a sample space diagram.

'Use Sample Space Diagrams to Calculate Probability' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Probability

Curriculum subtopic:   Calculate Theoretical Probability

Difficulty level:  

Worksheet Overview

When two events occur, there are several possible outcomes.


For example, when these two spinners are spun, there are 4 x 4 = 16 possible outcomes.


spinner with four sections     spinner with four sections


The two scores are added together and so we can create a sample space diagram to show the possible totals.


  1 2 3 4
1 2 3 4 5
2 3 4 5 6
3 4 5 6 7
4 5 6 7 8



The possible totals are 2, 3, 4, 5, 6, 7 and 8.


The probability of getting a total of 7, P(7) = 2/16 = 1/8


Remember to simplify your answer!

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started

Try an activity or get started for free