Mathematics / Year 8 / Probability

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Curriculum content descriptions

determine all possible combinations for 2 events, using two-way tables, tree diagrams and Venn diagrams, and use these to determine probabilities of specific outcomes in practical situations (AC9M8P02)

Elaborations
  • describing events using language of “at least”, exclusive “or” (\(A\) or \(B\) but not both), inclusive “or” (\(A\) or \(B\) or both) and “and”
  • using the relation \(Pr(a\;and\;B)+Pr(A\;and\;not\;B)+Pr(not\;A\;and\;B)+PR(not\;A\;and\;not\;B\;=\;1\) to calculate probabilities, including the special case of mutually exclusive events where \(Pr(A\;and\;B)\;=\;0\)
  • using Venn diagrams or two-way tables to demonstrate the difference between events that are mutually exclusive, such as whether a coin toss will land on a head or a tail, or those that are not mutually exclusive, such as people who have blonde hair and people who have blue eyes
  • exploring First Nations Australian children’s instructive games; for example, Battendi from the Ngarrindjeri Peoples of Lake Murray and Lake Albert in southern Australia, applying possible combinations and relationships and calculating probabilities using two-way tables and Venn diagrams
General capabilities
  • Numeracy Numeracy
ScOT terms

Two-way tables,  Expected frequency,  Tree diagrams,  Venn diagrams

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        8 direct matches to AC9M8P02 | 1 other related resources

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        Syllabus bites: Introducing Venn diagrams

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        TIMES Module 13: Statistics and Probability: chance, year 8 - teacher guide

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        Syllabus bites: The language of Venn diagrams

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

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        TIMES Module 1: Number and Algebra: sets and Venn diagrams - teacher guide

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        Syllabus bites: Venn diagrams and Two-way tables

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        Syllabus bites: More Venn diagrams

        • TLF-IDM016138

        An interactive exploration of Venn diagrams with three attributes.

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        Syllabus bites: Using Venn diagrams to solve problems

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        Worked examples and guided exercises to assist students learning to use Venn diagrams as an organiser for solving mathematical problems.

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