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2 marksProbability

CAPE Applied Mathematics Unit 2 · 2008 (second paper) · Paper 2 · Question 3(c)(i)

A and B are two independent events such that P(A | B) = 2/3 and P(A ∩ B) = 1/3.

Find P(A).

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Other parts of this question

  1. 3(a)Determine how many odd numbers greater than 500 000 can be made from the digits 4, 5, 6, 7, 8 and 9 if repetitions are allowed.[4 marks]
  2. 3(b)(i)Determine the number of ways of choosing the team if there are no restrictions.[2 marks]
  3. 3(b)(ii)Determine the number of ways of choosing the team if it contains exactly two girls.[3 marks]
  4. 3(b)(iii)Determine the number of ways of choosing the team if it contains more girls than boys.[4 marks]
  5. 3(c)(ii)Find P(B).[3 marks]
  6. 3(c)(iii)Find P(A' ∩ B').[5 marks]
  7. 3(d)State, with reason, whether A and B are mutually exclusive events.[2 marks]

More practice: the rest of this paper · more Probability questions · all CAPE Applied Mathematics Unit 2 past papers