Mathematics Probability Representational 12–13 yrs

Venn Diagrams and Counting Outcomes

韦恩图与计数结果

Description

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

Mastery Evidence
  • 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 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?