51. A fair die is rolled once. The probability of getting a number greater than 4 is:
- 16
- 13
- 12
- 23
Answer: B) 13
Explanation: There are 2 favourable outcomes out of 6, so P = 26 = 13. SLO M-09-C-04 · Knowledge
MCQs / Mathematics / Probability
Probability MCQs — Mathematics (page 3)
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.
52. In an experiment an event happened 27 times in 90 trials. Its relative frequency is:
- 0.3
- 0.7
- 27
- 0.429
Answer: A) 0.3
Explanation: Relative frequency = frequency number of trials = 2790 = 0.3. SLO M-09-C-06 · Knowledge
53. In an experiment an event happened 45 times in 120 trials. Its relative frequency is:
- 45
- 0.6
- 0.625
- 0.375
Answer: D) 0.375
Explanation: Relative frequency = frequency number of trials = 45120 = 0.375. SLO M-09-C-06 · Knowledge
54. A fair die is rolled once. The probability of getting a 7 is:
- 0
- 16
- 1
- 2
Answer: A) 0
Explanation: There are 0 favourable outcomes out of 6, so P = 06. This is an impossible event. SLO M-09-C-04 · Knowledge
55. A fair coin is tossed. P( head) =
- 12
- 1
- 14
- 0
Answer: A) 12
Explanation: Two equally likely outcomes, one of which is a head. SLO M-09-C-04 · Knowledge
56. As the number of trials increases, the relative frequency of an event usually:
- becomes 0
- gets closer to the true probability
- moves further from the probability
- becomes 1
Answer: B) gets closer to the true probability
Explanation: This is why more trials give a better estimate. SLO M-09-C-06 · Knowledge
57. Two fair dice are rolled. The probability that the total is 12 is:
- 118
- 136
- 16
- 111
Answer: B) 136
Explanation: Of the 36 equally likely pairs, 1 give a total of 12: P = 136. SLO M-09-C-05 · Application
58. Ahmad tossed a coin 10 times and got 7 heads. Which is the best conclusion?
- the coin is definitely biased
- 10 tosses are too few to say the coin is biased
- P( head) = 0.7 exactly
- the coin will land heads next time
Answer: B) 10 tosses are too few to say the coin is biased
Explanation: A small number of trials can easily give an unusual result. SLO M-09-C-06 · Knowledge
59. A traffic light is red for 30 s, amber for 5 s and green for 25 s in each cycle. A car arrives at a random moment. P( green) =
- 12
- 512
- 13
- 2530
Answer: B) 512
Explanation: 2560 = 512. SLO M-09-C-05 · Application
60. Two fair coins are tossed. The probability of getting two heads is:
- 13
- 12
- 34
- 14
Answer: D) 14
Explanation: Outcomes: HH, HT, TH, TT. Only HH is favourable: 14. SLO M-09-C-05 · Application
61. Two fair dice are rolled. The probability that the total is 9 is:
- 111
- 23
- 536
- 19
Answer: D) 19
Explanation: Of the 36 equally likely pairs, 4 give a total of 9: P = 436 = 19. SLO M-09-C-05 · Application
62. A fair die is rolled once. The probability of getting a 6 is:
- 56
- 16
- 12
- 112
Answer: B) 16
Explanation: There are 1 favourable outcome out of 6, so P = 16. SLO M-09-C-04 · Knowledge
63. A fair die is rolled once. The probability of getting a number less than 7 is:
- 12
- 0
- 17
- 1
Answer: D) 1
Explanation: There are 6 favourable outcomes out of 6, so P = 66 = 1. This is a certain event. SLO M-09-C-04 · Knowledge
64. A class has 14 boys and 21 girls. One student is chosen at random to be class monitor. P( girl) =
- 35
- 25
- 12
- 135
Answer: A) 35
Explanation: P = 2135 = 35. SLO M-09-C-05 · Application
65. The relative frequency of an event can never be:
- greater than 1
- 0.5
- 0
- 1
Answer: A) greater than 1
Explanation: The frequency cannot exceed the number of trials. SLO M-09-C-06 · Knowledge
66. Two fair coins are tossed. The probability of getting at least one head is:
- 14
- 34
- 1
- 12
Answer: B) 34
Explanation: 1 - P( TT) = 1 - 14 = 34. SLO M-09-C-05 · Application
67. In 300 matches, a team won the toss 141 times. The relative frequency of winning the toss is:
- 0.5
- 0.141
- 0.53
- 0.47
Answer: D) 0.47
Explanation: 141300 = 0.47. SLO M-09-C-06 · Knowledge
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