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Listed under:  Mathematics  >  Statistics and probability  >  Probability
Downloadable

Introduction to games of chance

This lesson explores how to predict outcomes of games of chance. Students investigate the concepts of 'luck', 'skill' and 'fairness', using dice games. They calculate probabilities for one and two dice rolls, and compare the odds for different combinations of dice in a variety of scenarios. The lesson is outlined in detail ...

Online

Probability calculations: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Probability calculations. Students are introduced to more complex probability concepts, terminology and visual representations for all combinations of two events. Students learn the language and differences between the connectors: ‘and’, ‘or’(inclusive or exclusive), ...

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Micro:bit missions: Take a chance on me (Integrating Mathematics): years 6-8

This resource comprises two activities that allow students to explore the concept of chance in Mathematics. Students use computational thinking while using a micro:bit as a digital system to generate and collect data. Students implement programs involving branching and iteration in visual and general-purpose programming languages.

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Conduct chance experiments: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Conduct chance experiments. Students draw on what they have learnt about probabilities related to compound events and apply this knowledge in a variety of experiments. The use of digital tools and simulations allow for repeated practice of compound events and help to ...

Online

Possible outcomes: Year 6 – planning tool

This planning resource for Year 6 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.

Video

How to win at rock-paper-scissors

Find out how to win at rock-paper-scissors using game theory. According to this theory, how should you decide on your next move when you play multiple rounds? See if you can apply this theory in multiple rounds of rock-paper-scissors with someone. Did you win? |Why would this theory be useful in economics?

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Mixed Up Maths, Ep 9: The giraffe ate it

When something has no chance of happening we say its impossible. Sometimes the chance of something happening is unlikely. Listen to these excuses explaining why the host did not do his homework. Which of his excuses might the teacher think, the chance of this happening is ... 'possible'?

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Numbers Count: Chance and playing with dice

Have you ever played a game that required you to roll a dice? Did you know that you have equal chances of rolling any of the six numbers? Can you think of another experiment where you have an equal chance of getting one result or the other?

Interactive

Experimental probability

This is an interactive resource that enables students to conduct virtual probability experiments using a spinner or a pair of dice. The student can manipulate the relative sizes of the different coloured segments of the spinner or the numbers on the faces of the dice to investigate the effect of these changes on probability. ...

Online

reSolve: Scrabble Stats

This sequence of lessons invites students to collect data about letter frequency in a variety of text sources. They use their findings to critically evaluate letter point values in Scrabble, compare them to historical values, create their own themed Scrabble point values and to decipher an encoded excerpt of text. Each ...

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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. ...

Online

reSolve: Probability

This sequence of four lessons explores probability in real world situations including advertising, games and population sampling. Students calculate probabilities, represent probabilities as fractions, decimals and percentages, perform chance experiments with small and large sample sizes and graph their results, examine ...

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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.

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Catalyst: Magical maths

At first glance, maths and magic might not appear to have much in common, but did you know that you can use maths and logic to come up with solutions to problems that can seem magical? Learn one such maths trick in this video from ABC Catalyst. What is the probability of the letter not being 'e'?

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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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What Are the Chances?

Do you know what chance is? It's the probability or the likelihood of something happening. Watch this video as Grace explains the probability of picking a red marble out of a bowl. What's the probability of picking a green marble?

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Catalyst: Probability and the birthday paradox

Even when a maths problem seems simple – for example, the chance of two people sharing a birthday – the maths can run counter to our human intuition. Mathematician Lily Serna poses a maths problem to the Clovelly Bowling Club: how many people do you need to gather to get a 50 per cent chance of any two people in that group ...

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Big data, better hospitals

Overcrowding in hospitals is one of the biggest challenges facing our healthcare system . In order to reduce hospital waiting times, the Patient Admission Prediction Tool (PAPT) uses historical data to predict how many patients, and with what kinds of injuries, are expected to arrive at the emergency department each day ...

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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.