26. A die is rolled 120 times. Outcome Frequency ------ 1 18 2 22 3 15 4 25 5 20 6 20 The relative frequency of an even number is:
- 12
- 53120
- 67120
- 23
Answer: C) 67120
Explanation: Even: 22 + 25 + 20 = 67, so 67120. SLO M-09-C-06 · Knowledge
MCQs / Mathematics / Probability
Probability MCQs — Mathematics (page 2)
67 multiple-choice questions on Probability from Mathematics, each with the correct answer and, where available, a teacher's explanation. Read through them to revise the chapter, then practise the same questions one by one to test yourself.
27. A fair die is rolled once. The probability of getting a prime number is:
- 14
- 23
- 1
- 12
Answer: D) 12
Explanation: There are 3 favourable outcomes out of 6, so P = 36 = 12. SLO M-09-C-04 · Knowledge
28. In a raffle, 1 in 50 tickets wins a prize. If you buy one ticket, the probability you do not win is:
- 149
- 4950
- 4850
- 150
Answer: B) 4950
Explanation: 1 - 150 = 4950. SLO M-09-C-05 · Application
29. A class has 25 boys and 15 girls. One student is chosen at random to be class monitor. P( girl) =
- 58
- 38
- 35
- 140
Answer: B) 38
Explanation: P = 1540 = 38. SLO M-09-C-05 · Application
30. Two fair dice are rolled. The probability that the total is 10 is:
- 111
- 112
- 12
- 19
Answer: B) 112
Explanation: Of the 36 equally likely pairs, 3 give a total of 10: P = 336 = 112. SLO M-09-C-05 · Application
31. A class has 18 boys and 12 girls. One student is chosen at random to be class monitor. P( girl) =
- 35
- 130
- 23
- 25
Answer: D) 25
Explanation: P = 1230 = 25. SLO M-09-C-05 · Application
32. A card is drawn at random from a well-shuffled pack of 52. The probability that it is a red card is:
- 1
- 12
- 13
- 127
Answer: B) 12
Explanation: P = 2652 = 12. SLO M-09-C-04 · Knowledge
33. A relative frequency of 0.35 written as a percentage is:
- 0.35%
- 35%
- 65%
- 3.5%
Answer: B) 35%
Explanation: 0.35 100 = 35%. SLO M-09-C-06 · Knowledge
34. A bag has 4 red and 6 blue balls. One ball is picked at random. P( not red) =
- 32
- 35
- 25
- 710
Answer: B) 35
Explanation: P( not red) = 1 - P( red) = 1 - 25 = 35. SLO M-09-C-04 · Knowledge
35. A coin is tossed 50 times and lands heads 28 times. The relative frequency of tails is:
- 0.56
- 0.44
- 0.22
- 0.5
Answer: B) 0.44
Explanation: Tails = 22; 2250 = 0.44. SLO M-09-C-06 · Knowledge
36. A seed company plants 250 seeds and 215 germinate. The relative frequency of germination is:
- 0.86
- 0.215
- 0.14
- 1.16
Answer: A) 0.86
Explanation: 215250 = 0.86. SLO M-09-C-06 · Knowledge
37. A drawing pin lands point-up 64 times in 160 throws. Its estimated probability of landing point-up is:
- 0.25
- 0.6
- 0.64
- 0.4
Answer: D) 0.4
Explanation: 64160 = 0.4. SLO M-09-C-06 · Knowledge
38. In a lucky draw 500 tickets are sold. Sara buys 4 tickets. The probability that she wins the single prize is:
- 1500
- 14
- 45
- 1125
Answer: D) 1125
Explanation: 4500 = 1125. SLO M-09-C-05 · Application
39. A card is drawn at random from a well-shuffled pack of 52. The probability that it is a face card (J, Q, K) is:
- 313
- 1013
- 1213
- 113
Answer: A) 313
Explanation: P = 1252 = 313. SLO M-09-C-04 · Knowledge
40. A fair die is rolled once. The probability of getting a multiple of 3 is:
- 12
- 16
- 13
- 23
Answer: C) 13
Explanation: There are 2 favourable outcomes out of 6, so P = 26 = 13. SLO M-09-C-04 · Knowledge
41. A bag has 5 red, 3 blue and 2 green balls. One ball is picked at random. P( red) =
- 53
- 310
- 13
- 12
Answer: D) 12
Explanation: P = 510 = 12. SLO M-09-C-04 · Knowledge
42. Which value cannot be a probability?
- 0.75
- 0
- 1
- 1.2
Answer: D) 1.2
Explanation: Every probability lies between 0 and 1 (inclusive). SLO M-09-C-04 · Knowledge
43. A bag has 5 red, 3 blue and 2 green balls. One ball is picked at random. P( not red) =
- 13
- 310
- 12
- 1
Answer: C) 12
Explanation: P( not red) = 1 - P( red) = 1 - 12 = 12. SLO M-09-C-04 · Knowledge
44. A bag has 4 red and 6 blue balls. One ball is picked at random. P( red) =
- 35
- 23
- 25
- 13
Answer: C) 25
Explanation: P = 410 = 25. SLO M-09-C-04 · Knowledge
45. In an experiment an event happened 42 times in 200 trials. Its relative frequency is:
- 42
- 0.266
- 0.79
- 0.21
Answer: D) 0.21
Explanation: Relative frequency = frequency number of trials = 42200 = 0.21. SLO M-09-C-06 · Knowledge
46. A bag has 7 red, 2 blue and 3 green balls. One ball is picked at random. P( red) =
- 72
- 16
- 512
- 712
Answer: D) 712
Explanation: P = 712. SLO M-09-C-04 · Knowledge
47. In an experiment an event happened 18 times in 60 trials. Its relative frequency is:
- 0.429
- 0.3
- 0.7
- 18
Answer: B) 0.3
Explanation: Relative frequency = frequency number of trials = 1860 = 0.3. SLO M-09-C-06 · Knowledge
48. The weather service says the chance of rain tomorrow is 30%. The chance that it will not rain is:
- 70%
- 100%
- 0%
- 30%
Answer: A) 70%
Explanation: 100% - 30% = 70%. SLO M-09-C-05 · Application
49. Relative frequency is used as an estimate of probability when:
- we know all outcomes are equally likely
- there is only one trial
- the event is impossible
- outcomes are not equally likely or the theory is unknown
Answer: D) outcomes are not equally likely or the theory is unknown
Explanation: Experiments give an estimate when we cannot calculate the probability directly. SLO M-09-C-06 · Knowledge
50. A die is rolled 120 times. Outcome Frequency ------ 1 18 2 22 3 15 4 25 5 20 6 20 The relative frequency of a 4 is:
- 16
- 524
- 15
- 14
Answer: B) 524
Explanation: 25120 = 524 approx 0.208. SLO M-09-C-06 · Knowledge