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ACARA AC9M8P01, Complementary events

Year 8 Β· Probability

Recognise that complementary events have probabilities that add to one, and use this to calculate probabilities in real contexts.

Below are free printable maths worksheets that support AC9M8P01. Print them as PDFs, or generate a fresh one. Every maths answer key is computed in code, so it is never wrong.

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Teaching guide

What students learn

Recognise that complementary events have probabilities that add to one, and use this to calculate probabilities in real contexts.

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.

Probability worksheets

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More Year 8 Probability codes: AC9M8P02 Β· AC9M8P03
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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.