Quelpr
2 marksProbability

CAPE Applied Mathematics Unit 2 · 2018 · Paper 2 · Question 3(a)(iii)

A committee of 5 persons is to be chosen from 8 men and 6 women.

Calculate the probability that the chosen committee will include exactly 2 women.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 3(a)(i)Determine the number of ways in which this can be done if there are no restrictions.[2 marks]
  2. 3(a)(ii)Determine the number of ways in which this can be done if exactly 2 women must be chosen.[3 marks]
  3. 3(b)(i)In how many ways can 3 jobs be assigned to the 5 teams if any team can be assigned only one job?[2 marks]
  4. 3(b)(ii)In how many ways can the jobs be assigned so that Team M is given the first job?[2 marks]
  5. 3(b)(iii)What is the probability that Team M gets the first job?[2 marks]
  6. 3(c)(i)Show that k = 1/9.[3 marks]
  7. 3(c)(ii)Calculate E(X) and Var(X).[6 marks]
  8. 3(c)(iii)Calculate P(X > 2).[3 marks]

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