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Conditional Probability

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Question 49

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

Conditional Probability Questions

  1. A Level
  2. /Maths
  3. /Conditional Probability

368 exam-style questions on Edexcel A Level Maths Conditional Probability, covering 2.1 Set Notation, 2.2 Conditional Probability, 2.3 Conditional Probabilities in Venn Diagrams, 2.4 Probability Formulae, and 2.5 Tree Diagrams. Each one has a worked solution and a mark scheme showing where the marks go.

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