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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!

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