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Probability

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Question 2

The Venn diagram represents three events DDD, E E\,E and FFF.

The probabilities in the regions are as follows:

  • P(only D)=0.28P(\text{only }D)=0.28P(only D)=0.28
  • P(only E)=0.12P(\text{only }E)=0.12P(only E)=0.12
  • P(only F)=0.22P(\text{only }F)=0.22P(only F)=0.22
  • P(D∩E)=pP(D\cap E)=pP(D∩E)=p
  • P(D∩F)=qP(D\cap F)=qP(D∩F)=q
  • P(E∩F)=rP(E\cap F)=rP(E∩F)=r
  • P(outside all three events)=0.10P(\text{outside all three events})=0.10P(outside all three events)=0.10

Events D D\,D and F F\,F are mutually exclusive. Events D D\,D and E E\,E are independent.

Find the values of ppp, q q\,q and rrr.

[5]
Markscheme

Probability Questions

  1. AS Level
  2. /Maths
  3. /Probability

34 exam-style questions on Edexcel AS Level Maths Probability, covering 5.1 Calculating Probabilities, 5.2 Venn Diagrams, 5.3 Mutually Exclusive and Independent Events, and 5.4 Tree Diagrams. Each one has a worked solution and a mark scheme showing where the marks go.

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