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A prerequisite knowledge graph of 1590 learning concepts across 8subjects. Track what you've mastered and see exactly what you're ready to learn next — the topics whose prerequisites you've already met. Built on the Marble Open Skill Taxonomy.

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Venn Diagrams and Counting Outcomes

Mathematics · Probability · representational

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

What mastery looks like

  • 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)

Check your understanding

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?

Prerequisites

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