An experiment is a repetition of a trial multiple times in order to observe how often each outcome occurs.

Experiments to determine how likely an outcome is

Maths

Equally likely outcomes

Non-equally likely outcomes

The scale of likelihoods

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

__________ is a repetition of a trial multiple times in order to observe how often each outcome occurs.

The __________ an experiment contains, the more confident you can be about any conclusions made based on its results. 

During an experiment, a toy brick is dropped 100 times and its landing position is noted. Based on the results in the bar chart, which way is the brick least likely to land when it is dropped?

Sofia is planning experiment involving dropping slices of buttered toast to see which way around it is most likely to land. Which number of trials would produce the most reliable conclusion?

Jacob conducts an experiment where he flips a coin 10 times to check whether landing 'heads' is equally likely as landing 'tails'. How could this experiment be improved?

The coin is definitely biased because it landed on tails more than heads.

The coin is definitely not biased because results can differ due to chance.

You cannot reliably conclude whether the coin is biased based on so few trials.

Jacob flips a coin 10 times. It lands 'heads' 3 times and 'tails' 7 times. Which statement is true?

The likelihood of an outcome can be described as __________ if its likelihood of happening is the same as its likelihood of not happening.

An outcome has less chance of happening than not happening.

An outcome has the same chance of happening as not happening.

An outcome has a greater chance of happening than not happening.

Which statement describes the meaning of 'unlikely'?

Which term belongs at point E on the scale of likelihoods?

A bag contains counters that are each labelled with a letter from A to C. One counter is chosen at random from the bag. Which term describes the likelihood of choosing the letter 'B'?

A regular six-sided dice is rolled. Match the events with the term that describes their likelihood of happening.

Experiments to determine how likely an outcome is

Lesson outcome