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ACARA AC9M7P01, Sample space and probabilities

Year 7 · Probability

List the sample space for a single-stage event, assign probabilities to the outcomes and predict relative frequencies for related events.

Below are free printable maths worksheets that support AC9M7P01. 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

List the sample space for a single-stage event, assign probabilities to the outcomes and predict relative frequencies for related events.

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.

Probability worksheets

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More Year 7 Probability codes: AC9M7P02
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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.