Experimental and Theoretical Probabilities · CSEC Mathematics

41 past-paper questions on Experimental and Theoretical Probabilities, part of STATISTICS, from every CSEC Mathematics paper on Quelpr.

1. 7(f)2 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Use the graph to find an estimate for the probability that a strip chosen at random is shorter than 45 cm.
2. 10(e)2 marks· CSEC Mathematics · 2009 (second paper) · Paper 2Calculate the probability that a student chosen at random is twelve years old or younger.
3. 5(b)(ii)1 mark· CSEC Mathematics · 2021 · Paper 2A student is selected at random. What is the probability that he/she was being driven to school on that day?
4. 5(b)(iii)2 marks· CSEC Mathematics · 2021 · Paper 2One of the girls is selected at random. What is the probability that she did NOT cycle to school?
5. 5(c)(ii)b)1 mark· CSEC Mathematics · 2022 · Paper 2Use your cumulative frequency curve to find the probability that a student chosen at random would be taller than 130 cm.
6. Q421 mark · multiple choice· CSEC Mathematics · January 2011 · Paper 1The probability that a boy chosen at random participated in boxing is
7. Q441 mark · multiple choice· CSEC Mathematics · January 2011 · Paper 1A bag contains 2\text{ red}, 4\text{ yellow} and 6\text{ blue} balls. The probability of drawing a blue ball from the bag at random is
8. Q421 mark · multiple choice· CSEC Mathematics · January 2013 · Paper 1A bag contains 60 marbles of different colours. The probability of randomly selecting a red marble is \frac{5}{12}. How many red marbles does the bag contain?
9. Q451 mark · multiple choice· CSEC Mathematics · January 2013 · Paper 1Each of the letters of the word 'CHANCE' is written on a slip of paper similar in size and shape. The slips of paper are then placed in a bag and thoroughly shaken. What is the probability of drawing a letter 'C'?
10. Q421 mark · multiple choice· CSEC Mathematics · January 2014 · Paper 1Six hundred students write an examination. The probability of a randomly selected student failing the examination is \frac{1}{5}. How many students are expected to pass?
11. Q431 mark · multiple choice· CSEC Mathematics · January 2014 · Paper 1In a class of 20 students, 12 are girls. What is the probability that a student chosen at random is a boy?
12. Q431 mark · multiple choice· CSEC Mathematics · January 2017 · Paper 1When three coins are tossed simultaneously the possible outcomes are {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}, where H represents a head and T represents a tail. What is the probability of randomly obtaining at LEAST…
13. Q421 mark · multiple choice· CSEC Mathematics · May/June 2011 · Paper 1A bag contains 2 red, 4 yellow and 6 blue balls. The probability of drawing a blue ball from the bag at random is
14. Q441 mark · multiple choice· CSEC Mathematics · May/June 2011 · Paper 1The probability that a boy chosen at random participated in boxing is
15. Q421 mark · multiple choice· CSEC Mathematics · May/June 2012 · Paper 1A bag contains 60 marbles of different colours but similar in size and mass. The probability of randomly choosing a red marble is \frac{5}{12}. How many red marbles does the bag contain?
16. Q421 mark · multiple choice· CSEC Mathematics · May/June 2013 · Paper 1A bag contains 2 red, 4 yellow and 6 blue marbles of similar size and shape. The probability of drawing a blue marble from the bag at random is
17. Q451 mark · multiple choice· CSEC Mathematics · May/June 2013 · Paper 1Of 120 students writing an exam, 100 are expected to pass. The estimated probability that a randomly selected student will FAIL the exam is
18. Q431 mark · multiple choice· CSEC Mathematics · May/June 2016 · Paper 1In a class of 20 students, 12 are girls. What is the probability that a student chosen at random is a boy?
19. 5(b)(i)1 mark· Mathematics Q5 5(b)(i)A girl is chosen at random. Determine the probability that she achieves a Grade I.
20. 5(b)(ii)2 marks· Mathematics Q5 5(b)(ii)Find the probability that the student estimated the mass to be greater than 6 grams.
21. 5(c)2 marks· Mathematics Q5 5(c)A vehicle is chosen at random from the 150 vehicles. What is the probability that the volume of petrol needed to fill its tank is more than 50.5 litres? Leave your answer as a fraction.
22. 5(f)2 marks· Mathematics Q5 5(f)What is the probability that a boy chosen at random read THREE OR MORE books?
23. 6(c)2 marks· Mathematics Q6 6(c)Calculate the probability that a student chosen at random from this class recorded the distance travelled to school as 26 km or more.
24. 6(iv)2 marks· Mathematics Q6 6(iv)What is the probability that a student chosen at random has a score greater than 40?
25. 7(a)(iv)2 marks· Mathematics Q7 7(a)(iv)Determine the probability that a student chosen at random scores less than half the total marks in the test.
26. 7(b)(iv)2 marks· Mathematics Q7 7(b)(iv)Determine the probability that a seedling chosen at random has a height that is GREATER than 30 cm.
27. 7(b)(iv)2 marks· Mathematics Q7 7(b)(iv)Use your graph to estimate the probability that an applicant selected at random has a height that is no more than 162 cm.
28. 7(c)2 marks· Mathematics Q7 7(c)Calculate the probability that a cow chosen at random from the experimental group gained 20 kg or more.
29. 7(c)(ii)2 marks· Mathematics Q7 7(c)(ii)the probability that a student, chosen at random, took 30 minutes or less to complete the experiment.
30. 7(c)(ii)2 marks· Mathematics Q7 7(c)(ii)Use your graph to estimate the probability that a student chosen at random spent less than $23 during the week.
31. 7(c)(ii)2 marks· Mathematics Q7 7(c)(ii)Use your graph drawn at (b) above to estimate the probability that a person who visited the clinic was 75 years or younger. Draw lines on your graph to show how these estimates were obtained.
32. 7(c)(ii)3 marks· Mathematics Q7 7(c)(ii)Estimate from the graph the probability that a package, chosen at random, has a mass which is LESS than 35 kg.
33. 7(c)(iii)2 marks· Mathematics Q7 7(c)(iii)Use your graph from (b) above to estimate the probability that a student, chosen at random from the group, waited for no more than 17 minutes.
34. 7(c)(iv)6 marks· Mathematics Q7 7(c)(iv)Using the cumulative frequency curve on the answer sheet provided, find the probability that a student chosen at random would score no more than 24 marks.
35. 7(d)2 marks· Mathematics Q7 7(d)To qualify for the finals, a student must complete the race in less than 60 seconds. What is the probability that a student from this class will qualify for the finals?
36. 7(d)2 marks· Mathematics Q7 7(d)Determine the probability that a student chosen at random has LESS THAN 4 books in his/her bag.
37. 7(d)2 marks· Mathematics Q7 7(d)What is the probability that a student chosen at random had a mark less than or equal to 30?
38. 7(d)2 marks· Mathematics Q7 7(d)What is the probability that a student selected at random qualifies for the next round?
39. 7(d)(ii)1 mark· Mathematics Q7 7(d)(ii)Determine the probability that a student, chosen at random, threw the ball a distance recorded as 50 metres or more.
40. 7(e)2 marks· Mathematics Q7 7(e)A student was chosen at random from the group, and the length of his right foot was measured. Calculate the probability that the length was GREATER THAN or EQUAL to 20 cm.
41. 7(iv)3 marks· Mathematics Q7 7(iv)Estimate the probability that a randomly chosen student from the class scored between 17 marks and 23 marks.