Mathematics·Probability·representational
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
Suggested ages 12–13
Evidence of understanding
- 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)
Assessment prompt
If Venn Diagrams and Counting Outcomes 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?
Standards alignment
7.SP.8bUS · ccss-math
Represent sample spaces for compound events
Common Core State Standards for Mathematics · 7
KS3.Maths.Prob.3GB · uk-nc-2013
Enumerate Sets
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3