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Probability · CAPE Applied Mathematics Unit 2

31 past-paper questions on Probability, part of Module 2: Probability and Distributions, from every CAPE Applied Mathematics Unit 2 paper on Quelpr.

Practise Probability
  1. 3(a)4 marks· CAPE Applied Mathematics Unit 2 · 2008 (second paper) · Paper 2Determine 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.
  2. 3(b)(i)2 marks· CAPE Applied Mathematics Unit 2 · 2008 (second paper) · Paper 2Determine the number of ways of choosing the team if there are no restrictions.
  3. 3(b)(ii)3 marks· CAPE Applied Mathematics Unit 2 · 2008 (second paper) · Paper 2Determine the number of ways of choosing the team if it contains exactly two girls.
  4. 3(b)(iii)4 marks· CAPE Applied Mathematics Unit 2 · 2008 (second paper) · Paper 2Determine the number of ways of choosing the team if it contains more girls than boys.
  5. 3(c)(i)2 marks· CAPE Applied Mathematics Unit 2 · 2008 (second paper) · Paper 2Find P(A).
  6. 3(c)(ii)3 marks· CAPE Applied Mathematics Unit 2 · 2008 (second paper) · Paper 2Find P(B).
  7. 3(c)(iii)5 marks· CAPE Applied Mathematics Unit 2 · 2008 (second paper) · Paper 2Find P(A' ∩ B').
  8. 3(d)2 marks· CAPE Applied Mathematics Unit 2 · 2008 (second paper) · Paper 2State, with reason, whether A and B are mutually exclusive events.
  9. 3(a)(i)2 marks· CAPE Applied Mathematics Unit 2 · 2011 · Paper 2Determine the number of different arrangements of the letters of the word MAXIMUM if there are no restrictions.
  10. 3(a)(ii)3 marks· CAPE Applied Mathematics Unit 2 · 2011 · Paper 2Determine the number of different arrangements of the letters of the word MAXIMUM if the last letter is a vowel.
  11. 3(a)(iii)3 marks· CAPE Applied Mathematics Unit 2 · 2011 · Paper 2Determine the number of different arrangements of the letters of the word MAXIMUM if the 3 M's must be together.
  12. 3(b)4 marks· CAPE Applied Mathematics Unit 2 · 2011 · Paper 2A committee of four is to be chosen from 6 men and 4 women. Determine the number of ways that the committee can be chosen so as to contain AT MOST 3 women.
  13. 4(c)(i)3 marks· CAPE Applied Mathematics Unit 2 · 2011 · Paper 2Calculate the probability that the marbles, in the order drawn, will be coloured white, black and red.
  14. 4(c)(ii)4 marks· CAPE Applied Mathematics Unit 2 · 2011 · Paper 2Calculate the probability that one marble of EACH colour will be drawn.
  15. 4(c)(iii)4 marks· CAPE Applied Mathematics Unit 2 · 2011 · Paper 2Calculate the probability that the THIRD marble will be white.
  16. 3(a)4 marks· CAPE Applied Mathematics Unit 2 · 2014 · Paper 2Calculate P(A' ∩ B').
  17. 3(b)(i)a)4 marks· CAPE Applied Mathematics Unit 2 · 2014 · Paper 2Determine the probability that two sing soprano and one sings tenor.
  18. 3(b)(i)b)4 marks· CAPE Applied Mathematics Unit 2 · 2014 · Paper 2Determine the probability that one soprano, one tenor and one bass are chosen.
  19. 3(b)(i)c)5 marks· CAPE Applied Mathematics Unit 2 · 2014 · Paper 2Determine the probability that three tenors are chosen given that the three persons all sing the SAME part.
  20. 3(b)(ii)4 marks· CAPE Applied Mathematics Unit 2 · 2014 · Paper 2A committee of 9 is to be drawn from the members of the choir. Determine the probability that the committee contains EXACTLY 2 basses and 3 tenors.
  21. 3(b)(iii)4 marks· CAPE Applied Mathematics Unit 2 · 2014 · Paper 2The 6 tenors and 5 basses are to be seated at a circular table so that two tenors are next to each other, and the remainder sit alternately. In how many ways can this be done?
  22. 3(a)(i)3 marks· CAPE Applied Mathematics Unit 2 · 2016 · Paper 2Calculate the total number of distinct portfolios of 12 paintings that can be created.
  23. 3(a)(ii)4 marks· CAPE Applied Mathematics Unit 2 · 2016 · Paper 2Determine the number of portfolios that contain exactly 8 watercolours and 4 oil paintings.
  24. 3(a)(iii)2 marks· CAPE Applied Mathematics Unit 2 · 2016 · Paper 2Hence, calculate the probability that a randomly chosen portfolio contains 8 watercolours and 4 oil paintings.
  25. 3(a)5 marks· CAPE Applied Mathematics Unit 2 · 2017 · Paper 2Find the probability that the 3 locals are on the committee.
  26. 3(a)(i)2 marks· CAPE Applied Mathematics Unit 2 · 2018 · Paper 2Determine the number of ways in which this can be done if there are no restrictions.
  27. 3(a)(ii)3 marks· CAPE Applied Mathematics Unit 2 · 2018 · Paper 2Determine the number of ways in which this can be done if exactly 2 women must be chosen.
  28. 3(a)(iii)2 marks· CAPE Applied Mathematics Unit 2 · 2018 · Paper 2Calculate the probability that the chosen committee will include exactly 2 women.
  29. 3(b)(i)2 marks· CAPE Applied Mathematics Unit 2 · 2018 · Paper 2In how many ways can 3 jobs be assigned to the 5 teams if any team can be assigned only one job?
  30. 3(b)(ii)2 marks· CAPE Applied Mathematics Unit 2 · 2018 · Paper 2In how many ways can the jobs be assigned so that Team M is given the first job?
  31. 3(b)(iii)2 marks· CAPE Applied Mathematics Unit 2 · 2018 · Paper 2What is the probability that Team M gets the first job?

Related topics in Module 2: Probability and Distributions