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2.3 Conditional Probabilities in Venn Diagrams

2.3 Conditional Probabilities in Venn Diagrams

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Question 12

A Venn diagram shows the membership overlap for three luxury car clubs: Vintage (VVV), Supercar (SSS), and Classic (CCC). Circle VVV and circle CCC are mutually exclusive. Circles VVV and SSS overlap, and circles SSS and CCC overlap.

The probabilities for the individual regions are as follows:

  • The probability of membership in only VVV is 0.24
  • The probability of membership in the intersection of VVV and SSS is 0.16
  • The probability of membership in only SSS is 0.12
  • The probability of membership in the intersection of SSS and CCC is 0.21
  • The probability of membership in only CCC is 0.15
  • The probability of membership in the region outside all three circles is 0.12

Determine:

a.

P(S′)P(S')P(S′)

[1]
b.

P(V∪C)P(V \cup C)P(V∪C)

[1]
c.

P(V∣S′)P(V | S')P(V∣S′)

[2]
Markscheme

2.3 Conditional Probabilities in Venn Diagrams Questions

  1. A Level
  2. /Maths
  3. /2.3 Conditional Probabilities in Venn Diagrams

31 exam-style questions on Edexcel A Level Maths 2.3 Conditional Probabilities in Venn Diagrams. Each one has a worked solution and a mark scheme showing where the marks go.

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