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Class 10 Maths Chapter 15 Probability MCQ

1. A dice is thrown. Find the probability of getting an even number.

(a) 2/3

(b) 1

(c) 5/6

(d) 1/2

Answer: (d) 1/2

2. 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

3. If two different dice are rolled together, the probability of getting an even number on both dice is:

(a) 13/6

(b) 1/2

(c) 1/6

(d) 1/4

Answer: (d) 1/4

4. The probability of getting exactly one head in tossing a pair of coins is

(a) 0

(b) 1

(c) 1/3

(d)1/2

Answer: (d)1/2

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5. Which of the following cannot be the probability of an event?​

(a) 0.7

(b) 15%

(c) 2/3

(d) -1.5

Answer: (d) -1.5

6. The probability of a leap year selected at random contain 53 Sunday is:

(a) 53/ 366

(b) 1/7

(c) 2/7

(d) 53/365

Answer: (a) 53/ 366

7. The probability of getting exactly one head in tossing a pair of coins is
(a) 0

(b) 1

(c) 1/3

(d)1/2

Answer: (d)1/2

8. Two coins are thrown at the same time. Find the probability of getting both heads.

(a) 3/4

(b) 1/4

(c) 1/2

(d) 0

Answer: (b) 1/4

9. The probability that cannot exist among the following:

(a)⅔

(b)-1.5

(c)15%

(d)0.7

Answer: (b)-1.5

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10. The probability that a number selected at random from the numbers 1, 2, 3, 4, …, 15 is a multiple of 4 is

(a) 4/15

(b) 2/15

(c) 1/5

(d) 1/3

Answer: (c) 1/5

11. The total number of events of throwing 10 coins simultaneously is

(a) 1024

(b) 512

(c) 100

(d) 10

Answer: (a) 1024

12. The probability that a non leap year selected at random will have 53 Sundays is

(a) 1/7

(b) 2/7

(c) 3/7

(d) 4/7

Answer: (a) 1/7

13. A bag contains 3 red and 2 blue marbles. A marble is drawn at random. The probability of drawing a black ball is :

(a) 3/5

(b) 2/5

(c) 0/5

(d) 1/5

Answer: (c) 0/5

14. Which of the following can be the probability of an event?

(a) – 0.4

(b) 1.004

(c) 1823

(d) 107

Answer: (c) 1823

15. Two dice are thrown simultaneously. The probability of getting a sum of 9 is:

(a) 1/10

(b) 3/10

(c) 1/9

(d) 4/9

Answer:(c) 1/9

16. 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

17. 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

18. Which of the following can be the probability of an event?

(a) – 0.4

(b) 1.004

(c) 18/23

(d) 10/7

Answer: (c) 18/23

19. The probability of getting a prime number in single throw of a dice is:​

(a) Zero

(b) 1/2

(c) 1/4

(d) 1/3

Answer: (b) 1/2

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20. The probability that it will rain tomorrow is 0.85. What is the probability that it will not rain tomorrow

(a) 0.25

(b) 0.145

(c) 3/20

(d) none of these

Answer: (c) 3/20

21. 100 cards are numbered from 1 to 100. Find the probability of getting a prime number.

(a) 3/4

(b) 27/50

(c) 1/4

(d) 29/100

Answer: (c) 1/4

22. 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

23. 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

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24. The total events to throw three dice simultaneously is

(a) 6

(b) 18

(c) 81

(d) 216

Answer: (d) 216

25. A number is selected at random from 1 to 75. The probability that it is a perfect square is

(a) 4/45

(b) 10/75

(c) 6/75

(d) 8/75

Answer: (d) 8/75

26. What is the probability that a number selected from the numbers (1, 2, 3,……….,15) is a multiple of 4?

(a) 1/5

(b) 4/5

(c) 2/15

(d) 1/3

Answer: (a) 1/5

27. A bag contains 5 red balls and some blue balls .If the probability of drawing a blue ball is double that of a red ball, then the number of blue balls in a bag is:

(a) 5

(b) 10

(c) 15

(d) 20

Answer: (b) 10

28. 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

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29. In a family of 3 children, the probability of having atleast one boy is:

(a) 7/8

(b) 1/8

(c) 5/8

(d) 3/4

Answer: (d) 3/4

30. A girl calculates that the probability of her winning the first prize in a lottery is 8100. If 6,000 tickets are sold, how many tickets has she bought?

(a) 400

(b) 750

(c) 480

(d) 240

Answer: (c) 480

31. If a die is thrown once, the probability of getting a prime number is​

(a) 1/4

(b) 1/2

(c) 1/5

(d) 1/3

Answer: (b) 1/2

32. What are the total outcomes when we throw three coins?

(a) 4

(b) 5

(c) 8

(d) 7

Answer: (c) 8

33. A box of 600 bulbs contains 12 defective bulbs. One bulb is taken out at random from this box. Then the probability that it is non-defective bulb is:

(a) 143/150

(b) 147/150

(c) 1/25

(d) 1/50

Answer: (b) 147/150

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34. 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

35. If P(A) denotes the probability of an event then:

(a) P(A) < 0

(b) P(A) > 0


(c) 0 ≤ P(A) ≤ 1


(d) -1 ≤ P(A) ≤ 0

Answer: (c) 0 ≤ P(A) ≤ 1

36. If the probability of winning a game is 0.995, then the probability of losing is

(a) 0.05

(b) 1

(c) 0.005

(d) None of the these

Answer: (c) 0.005

37. The probability that a prime number selected at random from the numbers (1,2,3, ……….35) is :

(a) 12/35

(b) 11/35

(c) 13/35

(d) none of these

Answer: (b) 11/35

38. The total events to throw three dice simultaneously is

(a) 6

(b) 18

(c) 81

(d) 216

Answer: (d) 216

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39. Cards marked with numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box randomly, then the probability that the number on card is a perfect square.

(a) 9/100

(b) 1/10

(c) 3/10

(d) 19/100

Answer: (b) 1/10

40. 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

41. A card is selected from a deck of 52 cards. The probability of its being a red face card is:

(a) 32/6

(b) 3/13

(c) 2/13

(d) 1/2

Answer: (a) 3/26

42. What is the probability of a sure event?​

(a) greater than 1

(b) Between 0 and 1

(c) 0

(d) 1

Answer: (d) 1

43. The sum of the probability of an event and non event is :

(a) 2

(b) 1

(c) 0

(d) none of these.

Answer: (b) 1

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44. A girl calculates that the probability of her winning the first prize in a lottery is 8100. If 6,000 tickets are sold, how many tickets has she bought?

(a) 400

(b) 750

(c) 480

(d) 240

Answer: (c) 480

45. What is the probability of getting 53 Mondays in a leap year?

(a) 1/7

(b) 53/366

(c) 2/7

(d) 7/366

Answer: (c) 2/7

46. 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

47. The probability than 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) 17

48. 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

49. The following probabilities are given; choose the correct answer for that which is not possible.

(a) 0.15

(b) 2/7

(c) 7/5

(d) none of these.

Answer: (c) 7/5

50. Which of the following cannot be the probability of an event?

(a) 1.5

(b) 35

(c) 25%

(d) 0.3

Answer:(c) 25%

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51. A card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a king of red suit.

(a) 1/26

(b) 3/26

(c) 7/52

(d) 1/13

Answer: (a) 1/26

52. 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

53. When a die is thrown, the probability of getting an odd number less them 3 is:

(a) 1/6

(b) 1/3

(c) 1/2

(d) 0

Answer: (a) 1/6

54. What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?

(a) 1/21

(b) 4/7

(c) 2/7

(d) 5/7

Answer: (d) 5/7

55. If three coins are tossed simultaneously, than the probability of getting at least two heads, is

(a) 1/4

(b) 3/8

(c) 1/2

(d) 1/8

Answer: (c) 1/2

56. A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the number 1,2,3……12 ,then the probability that it will point to an odd number is:

(a) 1/6

(b) 1/12

(c) 7/12

(d) 5/12

Answer: (a) 1/6

57. 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

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58. 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

59. The probability expressed as a percentage of a particular occurrence can never be

(a) less than 100

(b) less than 0

(c) greater than 1

(d) anything but a whole number

Answer: (b) less than 0

60. A letter is chosen at random from the letters of the word ASSASSINATION. The probability that the letter chosen has:

(a) 6/13

(b) 7/13

(c) 1

(d) none of these

Answer: (b) 7/13

61. A game consists of tossing a one rupee coin 3 times and noting its outcome each time. Aryan wins if all the tosses give the same result i.e. three heads or three tails and loses otherwise. Then the probability that Aryan will lose the game.

(a) 3/4

(b) 1/2

(c) 1

(d) 1/4

Answer: (a) 3/4

62. 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

63. Two coins are tossed simultaneously. The probability of getting atmost one head is

(a) 1/4

(b) 1/2

(c) 3/4

(d) 1

Answer: (c) 3/4

64. Riya and Kajal are friends. Probability that both will have the same birthday isthe same birthday is:

(a) 364/365

(b) 31/365

(c) 1/365

(d) 1/133225

Answer: (c) 1/365

65. One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is:

(a) 15

(b) 35

(c) 45

(d) 13

Answer: (a) 15

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66. If a letter of English alphabet is chosen at random, then the probability that the letter is a consonant is:

(a) 11/13

(b) 5/26

(c) 10/13

(d) 21/26

Answer: (d) 21/26

67. A number x is chosen at random from the numbers -2, -1, 0 , 1, 2. Then the probability that x2 < 2 is?

(a) 1/5

(b) 2/5

(c) 3/5

(d) 4/5

Answer: (c) 3/5

68. Someone is asked to take a number from 1 to 100. The probability that it is a prime is:

(a) 1/5

(b) 6/25

(c) 1/4

(d) 13/50

Answer: (c) 1/4

69. The probability that a non leap year will have 53 Fridays and 53 Saturdays is

(a) 1/7

(b) 2/7

(c) 0

(d) 3/7

Answer: (c) 0

70. A jar contains 24 marbles. Some are red and others are white. If a marble is drawn at random from the jar, the probability that it is red is 2/3, then the number of white marbles in the jar is:

(a) 10

(b) 6

(c) 8

(d) 7

Answer: (c) 8

71. A school has five houses A, B, C, D and E. A class has 23 students, 4 from house A, 8 from house B, 5 from house C, 2 from house D and rest from house E. A single student is selected at random to be the class monitor. The probability that the selected student is not from A, B and C is:

(a) 4/23

(b) 6/23

(c) 8/23

(d) 17/23

Answer: (b) 6/23

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72. A letter of English alphabets is chosen at random. The probability that the letter chosen is a vowel is

(a) 1/26

(b) 5/26

(c) 4/26

(d) 2/26

Answer: (b) 5/26

73. A number is selected at random from first 50 natural numbers. Then the probability that it is a multiple of 3 and 4 is:

(a) 7/50

(b) 4/25

(c) 1/25

(d) 2/25

Answer: (d) 2/25

74. The probability of a sure event is

(a) 100

(b) 0.1

(c) 1

(d) 0

Answer: (c) 1

75. If a die is rolled, the probability of getting a number between 1 and 6 is

(a) 1/6

(b) 2/6

(c) 3/4

(d) 2/3

►Answer:(d) 2/3

76. The probability that a non leap year selected at random will contain 53 Sunday’s is

(a) 1/7

(b) 2/7

(c) 3/7

(d) 5/7

Answer: (a) 1/7

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