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Statistics games

This resource is a web page containing three dice games to explore chance. Each dice game has simple instructions to play the interactive strategy game. The games provide a useful way to investigate the chance of rolling a particular number after successive trials. This resource is one activity from the NRICH collection.

Online

reSolve: Probability - Rock Paper Scissors

In this sequence of two lessons, students determine their chances of winning the game 'rock paper scissors', then test their chances by playing against another player and in a simulated game. Students look at the psychological aspect of the game and recognise that there is a strategy to increase your chance of winning. ...

Video

Can We Help Same birthday whats the chance video

Mathematician Adam Spencer answers a question about something called the 'birthday paradox'. Find out what this has to do with birthdays and the number of people in a room.

Video

Catalyst: Probability and the gambler's fallacy

Mathematician Lily Serna visits Luna Park to explain a great probability pitfall. She shares a century-old tale from Monte Carlo casino, and then she puts its lesson to the test. If you flip a coin and it lands on heads three times in a row, what result would you predict for the next flip? Find out why intuition might land ...

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MathXplosion, Ep 8: Birthday probability

What is the probability there are at least two people in your class who have the same birthday? If you have at least 23 people in your class, the chances are good. Find out the maths behind this theory.

Interactive

Syllabus bites: More Venn diagrams

An interactive exploration of Venn diagrams with three attributes.

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Introduction to probability

This is a website designed for both teachers and students in year 5, and addresses components of the probability topic. It is particularly relevant for discussing chance experiments where the probability of events is equally likely and for describing those events using fractions. There are pages for both teachers and students. ...

Online

Conduct chance experiments: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Conduct chance experiments. Students conduct repeated chance experiments. Students carry out an experiment multiple times, record the results, and identify and describe any variation in these results.

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Possible outcomes: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Possible outcomes. Students represent the probability of an event occurring on a scale of zero to one as decimals, fractions or percentages.

Downloadable

Assessment task: Non-transitive dice

This assessment includes a number of questions to enable students to demonstrate their understanding and learning in probability. Students will be asked to explore the outcomes of a set of non-transitive dice using probability tree diagrams, and discover their unique features. The assessment task is outlined in detail including ...

Video

Comparing chance

A simple interactive simulation in which students compare probabilities.

Interactive

Syllabus bites: The language of Venn diagrams

Interactive activities supporting students learning to describe regions of a Venn diagram.

Downloadable

Lucky dip

Students conduct chance experiments and play chance-related games to generate data, which they represent and interpret.

Downloadable

Loaded dice

Students conduct chance experiments, record data into a frequency table and represent data using a column graph.

Downloadable

Should you swap?

This lesson explores the classic probability problem, commonly known as the Monty Hall problem: having chosen what you think is the winning door with the money behind it, should you swap to another door when Monty offers you the opportunity? Students will first use probability language to define the problem. Students will ...

Downloadable

Prediction vs. reality

This lesson explores how we perceive randomness. Students toss coins and record their observations while half of the class fake their results. They will then explore the differences between the random results and fake results sets and investigate theoretical probabilities for large numbers of coin flips. The lesson is outlined ...

Downloadable

Assessment task: Chuck-a-Luck

This assessment includes a number of questions to enable students to demonstrate their understanding and learning in probability. Students will be asked to investigate an old gambling game known as Chuck-a-Luck. They will calculate the probabilities of each betting option and their expected values. The assessment task is ...

Online

Conduct chance experiments: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Conduct chance experiments. Students predict the frequency of an outcome of repeated chance experiments. They conduct simulations using digital tools to generate and record the outcomes, and observe the effect of many trials on the outcome. They then compare observed ...

Online

Conduct chance experiments: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Conduct chance experiments. Students predict the frequency of an outcome of repeated chance experiments. They conduct simulations using digital tools to generate and record the outcomes, and observe the effect of many trials on the outcome. They then compare observed ...

Downloadable

Come in spinner

Students recognise and describe variations in results and conduct a simple experiment with spinners.