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2 Unit 2: Applied Mathematics A

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Question 88

For three events AAA, B B\,B and CCC, the probabilities in the Venn-diagram regions are as follows: A A\,A only is ppp; A∩B A\cap B\,A∩B only is 0.12; B B\,B only is 0.20; B∩C B\cap C\,B∩C only is 0.08; C C\,C only is rrr; outside all three events is 0.15; and q=P(A∩C)q=P(A\cap C)q=P(A∩C).

The events A A\,A and C C\,C are mutually exclusive, and the events A A\,A and B B\,B are independent.

a.

Write down the value of qqq, giving a reason.

[1]
b.

Find the value of ppp.

[2]
c.

Find the value of rrr.

[2]
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2 Unit 2: Applied Mathematics A Questions

  1. A Level
  2. /Maths
  3. /2 Unit 2: Applied Mathematics A

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