Mathematics / Year 9 / Statistics and Probability / Chance

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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)

Elaborations
  • 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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6 direct matches to ACMSP225 | 1 other related resources

Downloadable

Assessment task: Non-transitive dice

  • TLF-IDA003651

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 ...

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Downloadable

Back to the books

  • TLF-IDA003653

In this lesson, students will explore how bookmakers set odds, and how these odds are carefully determined in order to guarantee the bookmaker the best chance of making a profit. Students learn how to convert between odds and probabilities and calculate the expected profit or loss based on odds. The lesson is outlined in ...

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Downloadable

Lucky lottery

  • TLF-IDA003656

In this lesson, students play a simple lottery game, analyse their odds of winning and how this influences the decisions they made. Students determine the differences between experimental and mathematical probability, conduct a simulation modelling an event and critically evaluate the odds of winning the lottery. The lesson ...

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Downloadable

Assessment task: Chuck-a-Luck

  • TLF-IDA003648

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 ...

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Loot boxes

  • TLF-IDA003652

In this lesson, students will create their own video game concept, complete with a loot box system. They will then calculate the probability of obtaining all unique items to form a complete set, considering the challenges this random system entails and how the gambling system inherent could lead to unexpected losses. The ...

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Downloadable

Counter-intuitive probability

  • TLF-IDA003650

This lesson is designed to demonstrate the ways in which random chance can be counter-intuitive. Students will explore how assumptions made in probability can be risky and investigate how to perform precise calculations to answer probability questions. The lesson is outlined in detail including NSW curriculum links, learning ...

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Poker machines (simulation)

  • TLF-IDA003654

This lesson explores how poker machines work and what is meant by the term Return to Player (RTP) percentage. Students run simulations to determine how small betting amounts can lead to a large cumulative loss over time and examine how reinvesting profits or wins from playing the poker machine back into the machine has ...

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