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Year 9

Using a Venn diagram to display outcomes for two events

I can systematically find all the possible outcomes for two events by using a Venn diagram.

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New
New
Year 9

Using a Venn diagram to display outcomes for two events

I can systematically find all the possible outcomes for two events by using a Venn diagram.

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Share activities with pupils
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Lesson details

Key learning points

  1. Possible outcomes for two events can be shown in a Venn diagram.
  2. The Venn diagram can be used to generate any of the other models.
  3. Any of the other outcome diagrams can be used to generate a Venn diagram.

Keywords

  • Venn diagram - Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events.

Common misconception

Pupils may not draw the rectangle in their Venn diagrams.

Refer back to the rectangle hosting all possible outcomes; the sample space and therefore a vital part of a Venn diagram.

Although Venn diagrams are typically drawn using circles, rectangles can be used for ease on squared paper/workbooks.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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Starter quiz

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6 Questions

Q1.
Select the prime number.
6
Correct answer: 7
8
9
10
Q2.
Which of these statements are true about square numbers?
Correct answer: Square numbers are never prime.
Square numbers can be non-integer.
Correct answer: Square numbers have an odd number of distinct factors.
Every square's area is a square number.
Q3.
Here are all the factors of a number $$x$$. Match each factor with the factor that completes the factor pair.
Correct Answer:1,24

24

Correct Answer:2,12

12

Correct Answer:3,8

8

Correct Answer:4,6

6

Q4.
Which of these numbers is 48 a multiple of?
Correct answer: 3
5
7
Correct answer: 8
11
Q5.
The sample space is the set of all possible from a trial.
Correct Answer: outcomes
Q6.
Which outcome is not a factor of 6 but is even?
An image in a quiz
1
2
3
Correct answer: 4
5

Exit quiz

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6 Questions

Q1.
Which of these is a Venn diagram?
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q2.
Use this Venn diagram to match the events to the outcomes.
An image in a quiz
Correct Answer:event A,{12, 14, 15, 20, 31, 72}

{12, 14, 15, 20, 31, 72}

Correct Answer:event B,{10, 15, 20, 59, 99}

{10, 15, 20, 59, 99}

Correct Answer:not event A,{10, 18, 44, 59, 62, 99}

{10, 18, 44, 59, 62, 99}

Correct Answer:not event B,{12, 14, 18, 31, 44, 62, 72}

{12, 14, 18, 31, 44, 62, 72}

Correct Answer:event A and event B,{15, 20}

{15, 20}

Correct Answer:event A or event B,{10, 12, 14, 15, 20, 31, 59, 72, 99}

{10, 12, 14, 15, 20, 31, 59, 72, 99}

Q3.
The Venn diagram shows 5 pupils and whether they play football (F) or play rugby (R). Which pupil plays rugby but not football?
An image in a quiz
Jun
Alex
Sofia
Correct answer: Izzy
Jacob
Q4.
This Venn diagram shows prime numbers (P) and odd numbers (O). The Venn diagram has two errors. What are they?
An image in a quiz
The outcomes are not in numerical order.
Correct answer: The outcomes of the sample space are not all represented.
The circles are not labelled A and B.
Correct answer: There is a duplication of an outcome.
Q5.
There are outcomes in the sample space shown in this Venn diagram.
An image in a quiz
Correct Answer: 6, six
Q6.
Which Venn diagram shows the same information as this outcome tree?
An image in a quiz
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz