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Listed under:  Mathematics  >  Statistics and probability  >  Probability
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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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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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?

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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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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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MathXplosion, Ep 49: The probability of finding matching socks

Check out this probability puzzle that requires you to weigh all the possibilities. Pick the most likely outcome when confronted with a drawer full of loose, unpaired socks! How did Eric come up with a matching pair?

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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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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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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: 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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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?

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. ...

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Thumb wrestling tournament

In this introductory activity students use a simple thumb-wrestling tournament to analyse a series of matches in which there can only be one victor. Students work in small groups to explore different ways of mapping out the events of a tournament, introducing the concept of constructing sample spaces and tree diagrams as ...

Online

Inference for proportions

This is a teacher resource for inference of proportions consisting of a website and a PDF with identical content. It contains discussion of how probability is used in statistical inference, the sample proportion as an estimator, the sample proportion as a random variable, population parameters and sample estimates, and ...

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TIMES Module 14: Statistics and Probability: chance, year 9 - teacher guide

This is a 19-page guide for teachers. This module continues the development of probability. A careful consideration of outcomes and equally likely outcomes is undertaken. In year 9, students consider situations involving two stages or two variables, including the special case of what are sometimes called two-step chance ...

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Comparing chance

A simple interactive simulation in which students compare probabilities.

Online

Probability

This is a teacher resource for probability consisting of a website and a PDF with identical content. It contains an introduction to probability, a discussion of random procedures, a formal approach to events and event spaces and probability axioms, conditional probability and independence, and the laws of probability.

Online

TIMES Module 15: Statistics and Probability: chance, year 10 - teacher guide

This is a 15-page guide for teachers. This module continues the development of probability. In year 10, students consider situations involving two or three stages or two or three variables. In the special case of two- or three-step chance experiments, they assign probabilities to outcomes in situations involving selections ...

Online

TIMES Module 11: Statistics and Probability: chance, year 6 - teacher guide

This is a 17-page guide for teachers. It continues the development of probability. A careful consideration of outcomes and equally likely outcomes is undertaken. Experiments involving known probabilities are considered and what is observed is compared with what is expected. This is carried out with both small and large ...

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Count Us In, Ep 12: Will it Rain Today?

What is the chance for Flynn and Dodly that it will rain at the beach? Dodly takes his umbrella and gumboots just in case it rains, and his scarf and gloves in case it gets cold. Explore the language of chance with the two monsters. What is the chance Dodly will pick a blue lolly out of the bag of four lollies?