Mathematics Probabilityusually ages 12–14

Tree diagrams

Generate theoretical sample spaces for single and combined events using listing, tables, and tree diagrams, and calculate theoretical probabilities as the number of favourable outcomes divided by the total number of equally likely outcomes

How to tell they’ve got it

Tick these off as you see them — no test required.

List all 36 outcomes when rolling two dice and find P(total = 7)
Draw a tree diagram for two successive events and multiply along branches for combined probabilities
Calculate the probability of a combined event using a sample space diagram and simplify the fraction

🖨 Print this page to keep the checklist — it prints beautifully.

Try this together

Can your child draw a tree diagram to map out all possible outcomes of a two-step probability situation — like flipping a coin and then rolling a die — and calculate the probability of any particular combination?

Where this sits on the map

Stuck here? Check the skills it builds on first. Confident? Here’s what it unlocks.

Builds on

Experimental probabilityages 11–13Theoretical probability builds on experience with experimental probability

Sets & Venn Diagramsages 12–14Sample spaces for combined events require systematic enumeration skills

Multiplying fractions (age 10+)ages 10–11Calculating probabilities for combined events often requires multiplying fractions

Tree diagramsthis skill · ages 12–14

Unlocks

Nothing on the map depends on this yet.

solid = must come firstdashed = helps

Curriculum alignment

Candidate matches to official curriculum codes — machine-suggested, unreviewed (v0.1).

This skill sits beyond Year 6 in the Australian Curriculum, so no F–6 code is matched. It also sits beyond the NSW K–6 syllabuses. It also sits beyond Level 6 in the Victorian Curriculum.

Nearby on the map

Sets & Venn Diagramsages 12–14 Venn Diagrams and Counting Outcomesages 12–13 Complementary eventsages 11–13 Experimental probabilityages 11–13

All Probability skills →