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ACARA AC9M8P01, Complementary events

Year 8 ยท 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.

Teaching guide

What students learn

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

How to teach it

Order events from impossible to certain in everyday language, then quantify simple chances as fractions of the equally-likely outcomes.

Worked example
A bag has 5 counters. 5 are purple. Picking a purple counter is (impossible, unlikely, even chance, likely, certain):
Answer: certain
Why: all 5 are purple, so it always happens

Generated and checked in code, so it is correct.

Watch out for

Assuming a rare-but-possible event is impossible, and thinking past results change the next independent outcome.

Make a worksheet for AC9M8P01
More Year 8 Probability codes: AC9M8P02 ยท AC9M8P03
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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.