Likelihood describes the chance that a particular event will occur.

A sample space is all the possible outcomes of a trial. A sample space diagram is a systematic way of producing a sample space.

Equally likely outcomes

Maths

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

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

describes the chance that a particular event will occur

Match each key words with its definition.

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

In which spinners are the outcomes 'win' and 'lose' equally likely?

Which outcomes are equally likely in this spinner?

In which spinners are all the outcomes equally likely?

ξ = {multiple of 3, not a multiple of 3}

ξ = {square number, not a square number}

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

Select all the numbers that are multiples of 3.

Select all the numbers that are factors of 3.

In which diagrams is half of the circle shaded?

Jun wants to shade in $${1}\over{3}$$ of this whole circle. Jun should shade in {{}} sectors of the circle. 

Match each letter to the fraction of the circle that is labelled with that letter.

Equally likely outcomes

Lesson outcome