Year 12: Relative Frequency and Probability (2024 syllabus)

2 dot points across 2 inquiry questions, in syllabus order. Each dot point has a focused answer, with exam-style questions and worked answers where available.

How do sample spaces, complements, arrays and tree diagrams let us find the probability of simple and two-stage events?

Identify the sample space of an experiment, find the probability of an event with equally likely outcomes and its complement, and use arrays and tree diagrams to solve problems about two-stage events

The Year 12 Mathematics Standard 1 answer on probability in the 2024 syllabus: listing a sample space, P(event) as favourable over total, the complement rule, and arrays and tree diagrams for two-stage events, with checked worked examples and practice questions.

9 min read →

How does relative frequency estimate probability, and how do we use probability to predict how often an event will happen?

Use relative frequency as an estimate of probability, recognise that more trials bring relative frequency closer to theoretical probability, and calculate expected frequency using np

The Year 12 Mathematics Standard 1 answer on relative frequency in the 2024 syllabus: using results of an experiment to estimate a probability, why more trials give a better estimate, and predicting how often an event happens with expected frequency np, with checked worked examples.

8 min read →