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ACARA AC9M9P01, Compound events

Year 9 ยท Probability

List outcomes for compound events with and without replacement using lists, tree diagrams, tables or arrays, and assign probabilities.

Below are free printable maths worksheets that support AC9M9P01. 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 outcomes for compound events with and without replacement using lists, tree diagrams, tables or arrays, and assign probabilities.

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 AC9M9P01
More Year 9 Probability codes: AC9M9P02 ยท AC9M9P03
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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.