ACARA AC9M8P02, Combinations for two events

Year 8 · Probability

Find all combinations for two events using two-way tables, tree diagrams and Venn diagrams, and use them to work out probabilities.

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Deliver a whole lesson on AC9M8P02 from a textbook-grade teaching unit, with a hook, worked examples, diagrams, misconceptions, and an exit ticket.

Compound probability

Year 8-9 (ages 13 to 15)

Teaching guide

What students learn

Find all combinations for two events using two-way tables, tree diagrams and Venn diagrams, and use them to work out probabilities.

Worked example

A fair coin is flipped and a fair six-sided die is rolled. What is the probability of getting tails AND rolling a 5? Write your answer as a fraction.

Answer: 1/12

Why: P(tails) x P(rolling 5) = 1/2 x 1/6 = 1/12

Generated and checked in code, so it is correct.

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Grade 8 Probability

Set A · PDF · answer key with Pro

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More Year 8 Probability codes: AC9M8P01 · AC9M8P03

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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.