An event is a subset of a sample space. It could be a particular outcome or be a set of outcomes that may occur from a trial.

Non-equally likely outcomes

Maths

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

Using a Venn diagram 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

The most likely outcome is for it to land on 'lose'.

The most likely outcome is for it to land on 'win'.

The two outcomes are equally likely to happen.

Which statement is true for this spinner?

In which spinner is landing on 'win' more likely than landing on 'lose'?

A counter is selected at random form the bag. Which letter is most likely to be selected?

A counter is selected at random form the bag. Which letter is least likely to be selected?

A single dice is rolled once. Which event is the most likely to happen?

A __________ is a single predefined test.

the chance that a particular event will occur.

Complete the following sample space for the outcomes of the spinner. ξ = {A, I, R, T, {{ }} }.

ξ = {multiple of 1, not a multiple of 1}

A regular six-sided dice is rolled once. In which sample space are the outcomes equally likely?

In which spinner are all the outcomes equally likely?

A regular six-sided dice is rolled once. Which outcome would be equally likely to rolling a multiple of 3?

Starter Quiz

A __________ is a single predefined test.