1. If P(A) = 38, then P( not A) =
- 58
- 38
- 0
- 83
Answer: A) 58
Explanation: The probabilities of an event and its complement add up to 1. SLO M-09-C-04 · Knowledge
MCQs / Mathematics / Probability
Probability MCQs — Mathematics
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.
2. A bag has 7 red, 2 blue and 3 green balls. One ball is picked at random. P( not red) =
- 512
- 712
- 57
- 16
Answer: A) 512
Explanation: P( not red) = 1 - P( red) = 1 - 712 = 512. SLO M-09-C-04 · Knowledge
3. A card is drawn at random from a well-shuffled pack of 52. The probability that it is a black ace is:
- 213
- 126
- 2526
- 13
Answer: B) 126
Explanation: P = 252 = 126. SLO M-09-C-04 · Knowledge
4. If P(A) = 29, then P( not A) =
- 92
- 79
- 0
- 29
Answer: B) 79
Explanation: The probabilities of an event and its complement add up to 1. SLO M-09-C-04 · Knowledge
5. A number is chosen at random from 1 to 20. The probability that it is a multiple of 4 is:
- 320
- 14
- 120
- 15
Answer: B) 14
Explanation: Multiples of 4: 4, 8, 12, 16, 20 — five of twenty. SLO M-09-C-05 · Application
6. A box of 80 bulbs contains 4 defective ones. A bulb is chosen at random. The probability that it works is:
- 1920
- 910
- 12
- 120
Answer: A) 1920
Explanation: P( works) = 7680 = 1920. SLO M-09-C-05 · Application
7. If P(A) = 0.35, then P( not A) =
- 0
- 1.35
- 0.65
- 0.35
Answer: C) 0.65
Explanation: The probabilities of an event and its complement add up to 1. SLO M-09-C-04 · Knowledge
8. A fair die is rolled once. The probability of getting an even number is:
- 14
- 1
- 12
- 23
Answer: C) 12
Explanation: There are 3 favourable outcomes out of 6, so P = 36 = 12. SLO M-09-C-04 · Knowledge
9. A card is drawn at random from a well-shuffled pack of 52. The probability that it is a king is:
- 413
- 1213
- 15
- 113
Answer: D) 113
Explanation: P = 452 = 113. SLO M-09-C-04 · Knowledge
10. A box of 500 bulbs contains 15 defective ones. A bulb is chosen at random. The probability that it works is:
- 12
- 97100
- 4750
- 3100
Answer: B) 97100
Explanation: P( works) = 485500 = 97100. SLO M-09-C-05 · Application
11. A letter is chosen at random from the word PAKISTAN. The probability that it is A is:
- 17
- 38
- 14
- 18
Answer: C) 14
Explanation: PAKISTAN has 8 letters, of which 2 are A: 28 = 14. SLO M-09-C-05 · Application
12. The relative frequencies of all the possible outcomes of an experiment add up to:
- 100
- the number of trials
- 0
- 1
Answer: D) 1
Explanation: Every trial gives exactly one outcome. SLO M-09-C-06 · Knowledge
13. A die is rolled 120 times. Outcome Frequency ------ 1 18 2 22 3 15 4 25 5 20 6 20 The estimated probability of a 3 from this experiment is:
- 0.125
- 0.3
- 0.167
- 0.15
Answer: A) 0.125
Explanation: 15120 = 0.125. SLO M-09-C-06 · Knowledge
14. Two fair dice are rolled. The probability that the total is 7 is:
- 1
- 736
- 16
- 111
Answer: C) 16
Explanation: Of the 36 equally likely pairs, 6 give a total of 7: P = 636 = 16. SLO M-09-C-05 · Application
15. A box of 200 bulbs contains 6 defective ones. A bulb is chosen at random. The probability that it works is:
- 12
- 3100
- 4750
- 97100
Answer: D) 97100
Explanation: P( works) = 194200 = 97100. SLO M-09-C-05 · Application
16. In an experiment an event happened 130 times in 500 trials. Its relative frequency is:
- 0.74
- 0.26
- 0.351
- 130
Answer: B) 0.26
Explanation: Relative frequency = frequency number of trials = 130500 = 0.26. SLO M-09-C-06 · Knowledge
17. A card is drawn at random from a well-shuffled pack of 52. The probability that it is a heart is:
- 14
- 1
- 34
- 114
Answer: A) 14
Explanation: P = 1352 = 14. SLO M-09-C-04 · Knowledge
18. In an experiment an event happened 7 times in 50 trials. Its relative frequency is:
- 7
- 0.86
- 0.14
- 0.163
Answer: C) 0.14
Explanation: Relative frequency = frequency number of trials = 750 = 0.14. SLO M-09-C-06 · Knowledge
19. Which estimate of P( six) for a die is most reliable?
- 1 six in 3 rolls
- 2 sixes in 10 rolls
- 60 sixes in 400 rolls
- 5 sixes in 20 rolls
Answer: C) 60 sixes in 400 rolls
Explanation: The estimate based on the most trials is the most reliable. SLO M-09-C-06 · Knowledge
20. A spinner has 8 equal sectors numbered 1 to 8. The probability of landing on a number greater than 5 is:
- 35
- 38
- 12
- 58
Answer: B) 38
Explanation: Favourable: 6, 7, 8 — three of eight. SLO M-09-C-05 · Application
21. Two fair dice are rolled. The probability that the total is 2 is:
- 111
- 136
- 118
- 16
Answer: B) 136
Explanation: Of the 36 equally likely pairs, 1 give a total of 2: P = 136. SLO M-09-C-05 · Application
22. A card is drawn at random from a well-shuffled pack of 52. The probability that it is the ace of spades is:
- 113
- 152
- 5152
- 12
Answer: B) 152
Explanation: P = 152. SLO M-09-C-04 · Knowledge
23. A family has two children. Assuming boys and girls are equally likely, the probability that both are girls is:
- 12
- 34
- 13
- 14
Answer: D) 14
Explanation: Outcomes BB, BG, GB, GG; only GG is favourable. SLO M-09-C-05 · Application
24. Two coins are tossed. The probability of exactly one head is:
- 12
- 14
- 34
- 13
Answer: A) 12
Explanation: HT and TH: 24 = 12. SLO M-09-C-05 · Application
25. In 80 spins, a spinner lands on blue 20 times. The estimated probability of blue is:
- 120
- 180
- 14
- 34
Answer: C) 14
Explanation: 2080 = 14. SLO M-09-C-06 · Knowledge
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