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2.3 Probability

2.3 Probability

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Question 24

In a survey about hobbies, the events D D\,D and E E\,E are defined as: D D\,D is the event that a person enjoys dancing, and E E\,E is the event that a person enjoys exercising. Given that P(D)=0.6P(D) = 0.6P(D)=0.6, P(E)=0.7P(E) = 0.7P(E)=0.7, and P(D∩E)=0.4P(D \cap E) = 0.4P(D∩E)=0.4, find:

a.

P(D∪E)P(D \cup E)P(D∪E)

[2]
b.

P(D∣E)P(D|E)P(D∣E)

[3]
c.

P(D′∣E′)P(D'|E')P(D′∣E′)

[3]
Markscheme

2.3 Probability Questions

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

200 exam-style questions on OCR A Level Maths 2.3 Probability, covering 2.3.1 Mutually exclusive and independent events, 2.3.2 Diagrams to assist probability calculations, 2.3.3 Conditional probability (A-level only), 2.3.4 Conditional probability from first principles (A-level only), and 2.3.5 Modelling with probability. Each one has a worked solution and a mark scheme showing where the marks go.

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