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Venn Diagrams

Venn Diagrams

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Question 4
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A Venn diagram shows the following elements distributed across three sets AAA, BBB, and CCC, and the universal set E\mathcal{E}E:

  • E={1,2,3,4,5,6,7,8,9,10,11,12}\mathcal{E} = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}E={1,2,3,4,5,6,7,8,9,10,11,12}
  • Elements in A A\,A only: 1,71, 71,7
  • Elements in B B\,B only: 2,92, 92,9
  • Elements in C C\,C only: 4,124, 124,12
  • Elements in A∩B A \cap B\,A∩B only: 3
  • Elements in B∩C B \cap C\,B∩C only: 11
  • Elements in A∩C A \cap C\,A∩C only: 10
  • Elements in A∩B∩CA \cap B \cap CA∩B∩C: 5,85, 85,8
  • Elements outside the circles: 6
a.

List the members of A∩BA \cap BA∩B

[1]
b.

A number is chosen at random from E\mathcal{E}E. Find P(B∪C)P(B \cup C)P(B∪C)

[2]
Markscheme

Venn Diagrams Questions

  1. GCSE
  2. /Maths
  3. /Venn Diagrams

52 exam-style questions on AQA GCSE Maths Venn Diagrams. Each one has a worked solution and a mark scheme showing where the marks go.

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