When listing outcomes systematically, they are listed in such a way as to ensure all outcomes are recorded.

Using lists to display outcomes for more than 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

Using a Venn diagram to display outcomes for two events

Comparing representations of outcomes for 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

An {{ }} is a result of a trial (e.g. getting heads when flipping a coin once or getting two heads when flipping a coin twice).

Select the spinners which would have the same list of possible outcomes when spun four times.

The missing outcome in this systematic list is {{ }}.

The missing outcome on the spinner is {{ }}.

Select the outcomes that are in event A, event B and event C.

Jun would like a party hat that doesn't have a string, does have a topper and isn't stripy. Jun should choose hat C or hat {{ }}.

A prime number is an integer greater than one with {{ }} 2 factors. All integers greater than 1 are either composite or prime.

Match each type of number with an example.

The list of possible outcomes when you spin this spinner twice is WW, WL, LW and {{ }}, where W means win and L means lose.

These two fair spinners are to be spun. Which list of outcomes have been completed in a systematic way?

The Venn diagram shows two events A and B. The outcome {{ }} is only in event A.

A standard fair six-sided dice is to be rolled. Match each event to the outcomes for that event.

Starter Quiz

A prime number is an integer greater than one with 2 factors. All integers greater than 1 are either composite or prime.