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2.3 Probability

2.3 Probability

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Question 82

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 Probability Questions

  1. A Level
  2. /Maths
  3. /2.3 Probability

200 exam-style questions on OCR (MEI) A Level Maths 2.3 Probability, covering 2.3.1 Calculate the probability of an event, 2.3.2 Complementary events, 2.3.3 Expected frequency of an event, 2.3.4 Diagrams to calculate probabilities, 2.3.5 Mutually exclusive and independent events, 2.3.6 Add probabilities for mutually exclusive events, 2.3.7 Multiply probabilities for independent events, 2.3.8 Mutually exclusive and independent events (notation) (A-level only), 2.3.9 Venn diagrams for probabilities (A-level only), 2.3.10 Conditional probabilities (A-level only), and 2.3.11 Independence via conditional probability (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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