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Mathematics / Year 9 / Statistics and Probability / Chance

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

List all outcomes for two-step chance experiments, both with and without replacement using tree diagrams or arrays. Assign probabilities to outcomes and determine probabilities for events (ACMSP225)

  • conducting two-step chance experiments
  • using systematic methods to list outcomes of experiments and to list outcomes favourable to an event
  • comparing experiments which differ only by being undertaken with replacement or without replacement
General capabilities
  • Numeracy Numeracy
ScOT terms

Probability,  Sampling (Statistics)

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Year level 9-10
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Learning area Mathematics

Introducing chance - middle years

This collection of 19 digital curriculum resources is organised into three categories: random sampling and predicting outcomes; random sampling from a population; and predictions and outcomes. It contains selections from four interactive learning object series: Vile vendor; Foul food; Random or not; and Dice duels. In these ...


Compound events

This presentation gives three examples of calculating the probability of a given outcome, using a tree diagram, when two coins are flipped. The solution to each example is revealed sequentially along with an explanation of each step. All the possible outcomes are listed and the solution to each problem is stated as a fraction ...

Teacher resource

Dart probability

In this mathematical activity, students calculate expected scores for a novice dart player. They use technology to determine the best section to aim for and use areas to weight scores to account for double and triple scores.


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 ...

Interactive resource

Exploring probability

Look at the probability of a snowboarder choosing any one of six ski runs down a mountain. Compare expected probabilities with experimental results. Examine outcomes illustrated in graphs and probabilities expressed as fractions and percentages. Notice there is likely to be a greater variation between expected and actual ...

Teacher resource

MoneySmart: How can we obtain more money?

This is a year 9 mathematics unit of work about making money. Intended to take about ten hours, the unit consists of six sets of student tasks supported by teacher notes. Tasks include investigating part-time work; surveying class members about the hours they work; using a spreadsheet; calculating earnings and interest; ...


Australian Historical Population Statistics to 2014 - dataset

The dataset provides statistics about the population of Australia in terms of age and sex from 1901 to 2014. It is made available by the Australian Bureau of Statistics (ABS). The dataset is in MS Excel format.

Teacher resource

Trade and Investment at a Glance

Using an illustrated report from the Department of Foreign Affairs and Trade, this Teacher guide provides ten learning sequences that engage students in the analysis and interpretation of data about Australian imports and exports. Students: identify Australia's major exports and imports; investigate international trade ...

Teacher resource

Australia's Trade through Time

Using an interactive timeline created by the Department of Foreign Affairs and Trade, this Teacher guide provides 12 series of learning experiences that engage students in the analysis and interpretation of data about Australian trade from 1900 to the present day. Students study videos, tables, images and texts in order ...

Teacher resource

Performance of diagnostic tests

In this mathematical activity, students use two-way tables and the concept of conditional probability to investigate the reliability of diagnostic testing, and consider the ethical implications in a human medical context.

Teacher resource

ReSolve: Hot Streaks

This sequence of two lessons students investigate streaks in statistical data. They develop tests for randomness in order to distinguish between random and non-random results and use their understanding of randomness to investigate the existence or otherwise of the 'hot streak' phenomenon in basketball. Each lesson is outlined ...

Teacher resource

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 ...

Interactive resource

Random or not: analyse runs of jubes (2:1)

Test a machine that randomly packages two types of fruit jubes: kookaburra and koala. Notice that koala jubes are twice as likely to be produced within a packet of 12 jubes. Look at patterns in sequences of jube types such as 3 koala jubes occurring in a row. Analyse the results of large samples. Compare the longest runs ...


Probable factors

What are the chances that a randomly generated quadratic equation will factorise? In this activity, the x coefficient in the equation is generated by rolling a pair of dice and summing the result. The constant in the equation is generated by rolling another pair of dice and finding the product. There are 1296 possible equations. ...

Moving Image

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'?