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

Using a Venn diagram to display outcomes for two events

Maths

Equally likely outcomes

Non-equally likely outcomes

The scale of likelihoods

Experiments to determine how likely an outcome is

Using lists to display outcomes for two events

Using two-way tables to display outcomes for two events

Using an outcome tree to display outcomes for two events

Comparing representations of outcomes for two events

Using lists to display outcomes for more than two events

Using an outcome tree to display outcomes for more than two events

Using a Venn diagram to display outcomes for more than two events

Comparing representations of outcomes for more than two events

Problem solving with possible outcomes

In this unit, pupils learn techniques for systematically listing all of the possible outcomes for both one event and two events. In the future unit, pupils use lists of outcomes to find theoretical probabilities

In this unit, pupils find all the factors of a number systematically and they understand that systematic listing is helpful in organising their work. The idea of being systematic is built on in this unit as pupils work to identify all possible outcomes

This unit introduces and explores the concept of liklihood as a relative measure, and demonstrates multiple ways to represent likelihood such as Venn diagrams, tree diagrams and two-way tables.

Probability: possible outcomes

Use this Venn diagram to match the events to the outcomes.

The Venn diagram shows 5 pupils and whether they play football (F) or play rugby (R). Which pupil plays rugby but not football?

The outcomes of the sample space are not all represented.

This Venn diagram shows prime numbers (P) and odd numbers (O). The Venn diagram has two errors. What are they?

There are {{ }} outcomes in the sample space shown in this Venn diagram.

Which Venn diagram shows the same information as this outcome tree?

Square numbers have an odd number of distinct factors.

Which of these statements are true about square numbers?

Here are all the factors of a number $$x$$. Match each factor with the factor that completes the factor pair.

Which of these numbers is 48 a multiple of?

The sample space is the set of all possible {{ }} from a trial.

Which outcome is not a factor of 6 but is even?

Starter Quiz

Select the prime number.