Mathematics Probabilityusually ages 12–13

Venn Diagrams and Counting Outcomes

Construct and interpret Venn diagrams with two or three sets to organise and count outcomes; use systematic listing and the product rule for counting to enumerate all possible outcomes of combined events

How to tell they’ve got it

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

Draw a two-circle Venn diagram to sort 30 students by whether they like football, like cricket, or like both
Shade the intersection A ∩ B and the union A ∪ B on a Venn diagram and explain what each region represents
Use a completed Venn diagram to calculate P(A), P(B), P(A ∩ B), and P(A ∪ B)

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

Try this together

If your child surveys a class about which sports they play and draws a Venn diagram to show the results, can they use it to find out how many students play both sports — and calculate the probability of picking one of those students at random?

Where this sits on the map

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

Builds on

Sets & Venn Diagramsages 12–14Constructing Venn diagrams is the representational skill for the set enumeration work in mt_1YwOCMMwD8

Venn Diagrams and Counting Outcomesthis skill · ages 12–13

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 Tree diagramsages 12–14 Complementary eventsages 11–13 Experimental probabilityages 11–13

All Probability skills →