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2 Unit 2: Applied Mathematics A

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Question 33

For two events A A\,A and B B\,B it is given that P(A)=0.4P(A) = 0.4P(A)=0.4 and P(B)=0.5P(B) = 0.5P(B)=0.5. Nothing further is known about the events.

a.

Find, using set notation, the set of possible values of P(A∩B)P(A \cap B)P(A∩B).

[3]
b.

State the relationship between A A\,A and B B\,B when P(A∩B)P(A \cap B)P(A∩B) takes its least possible value.

[1]
c.

A different pair of events C C\,C and D D\,D has P(C)=0.7P(C) = 0.7P(C)=0.7 and P(D)=0.6P(D) = 0.6P(D)=0.6. Find the set of possible values of P(C∩D)P(C \cap D)P(C∩D).

[2]
Markscheme

2 Unit 2: Applied Mathematics A Questions

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

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