Chapter 15: Probability
1. The probability of event equal to zero is called;
(a) Unsure event
(b) Sure Event
(c) Impossible event
(d) Independent event
Answer: (c) Impossible event
2. The probability that cannot exist among the following:
(a) ⅔
(b) -1.5
(c) 15%
(d) 0.7
Answer: (b) -1.5
3. If P(E) = 0.07, then what is the probability of ‘not E’?
(a) 0.93
(b) 0.95
(c) 0.89
(d) 0.90
Answer: (a) 0.93
4. A bag has 3 red balls and 5 green balls. If we take a ball from the bag, then what is the probability of getting red balls only?
(a) 3
(b) 8
(c) ⅜
(d) 8/3
Answer: (c) ⅜
5. A bag has 5 white marbles, 8 red marbles and 4 purple marbles. If we take a marble randomly, then what is the probability of not getting purple marble?
(a) 0.5
(b) 0.66
(c) 0.08
(d) 0.77
Answer: (d) 0.77
6. A dice is thrown in the air. The probability of getting odd numbers is
(a) ½
(b) 3/2
(c) 3
(d) 4
Answer: (a) ½
7. If we throw two coins in the air, then the probability of getting both tails will be:
(a) ½
(b) ¼
(c) 2
(d) 4
Answer: (b) ¼
8. If two dice are thrown in the air, the probability of getting sum as 3 will be
(a) 2/18
(b) 3/18
(c) 1/18
(d) 1/36
Answer: (c) 1/18
9. A card is drawn from the set of 52 cards. Find the probability of getting a queen card.
(a) 1/26
(b) 1/13
(c) 4/53
(d) 4/13
Answer: (b) 1/13
10. A fish tank has 5 male fish and 8 female fish. The probability of fish taken out is a male fish:
(a) 5/8
(b) 5/13
(c) 13/5
(d) 5
Answer: (b) 5/13
11. The sum of the probabilities of all the elementary events of an experiment is
(a) 0.5
(b) 1
(c) 2
(d) 1.5
Answer: (b) 1
12. A card is selected at random from a well shuffled deck of 52 playing cards. The probability of its being a face card is
(a) 3/13
(b) 4/13
(c) 6/13
(d) 9/13
Answer: (a) 3/13
13. If an event cannot occur, then its probability is
(a) 1
(b) 3/4
(c) 1/2
(d) 0
Answer: (d) 0
14. An event is very unlikely to happen. Its probability is closest to
(a) 0.0001
(b) 0.001
(c) 0.01
(d) 0.1
Answer: (a) 0.0001
15. If P(A) denotes the probability of an event A, then
(a) P(A) < 0
(b) P(A) > 1
(c) 0 ≤ P(A) ≤ 1
(d) –1 ≤ P(A) ≤ 1
Answer: (c) 0 ≤ P(A) ≤ 1
16. The probability that a non leap year selected at random will contain 53 Sundays is
(a) 1/7
(b) 2/7
(c) 3/7
(d) 5/7
Answer: (a) 1/7
17. If the probability of an event is p, the probability of its complementary event will be
(a) p – 1
(b) p
(c) 1 – p
(d) 1 – 1/p
Answer: (c) 1 – p
18. A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is
(a) 4
(b) 13
(c) 48
(d) 51
Answer: (d) 51
19. The probability of getting a bad egg in a lot of 400 is 0.035. The number of bad eggs in the lot is
(a) 7
(b) 14
(c) 21
(d) 28
Answer: (b) 14
20. Two players, Sangeeta and Reshma, play a tennis match. It is known that the probability of Sangeeta winning the match is 0.62. The probability of Reshma winning the match is
(a) 0.62
(b) 0.38
(c) 0.58
(d) 0.42
Answer: (b) 0.38