NAGESH KARAJAGI ORCHID SCHOOL,SOLAPUR

Mathematics
Revision Test
Max Marks: 101

Date : 23/Jan/2020 Grade: 10th (CBSE) Time: 3Hrs

Probability (MCQ)

Choose and write the correct option in the following questions:

1. A jar contains 100 slips marked with number 1 to 100. One slip is drawn randomly. Find the 1
probability that the number marked on the slip is a perfect cube
(a) 3/100 (b) 4/100 (c) 1/100 (d) 6/100
2. When fair dice is thrown. Then, total number of sample space is 1
(a) 2 (b) 6 (c) 1 (d) 4
3. From the letters of the word “GURUGRAM”, a letter is selected. The probability of the letter is a 1
vowel
(a) 3/8 (b) 2/8 (c) 1/8 (d) none of these
4. Probability of getting a multiple of 2, when a fair dice is thrown 1
(a) ½ (b) 1/3 (c) 1/6 (d) 2/3
5. A bag contains a plastic coins marked with number 5 to 25. A coin is drawn randomly. Find the 1
probability that a number on the coin is divisible by 5.
(a) 5/16 (b) 4/16 (c) 2/15 (d) 5/15
6. A card is selected from a deck of 52 cards. The probability of being a red face card is 1

7. A student has 4 pencils, 2 erasers and 2 sharpeners in his Geometry box. Any item is drawn 1
randomly by him. The probabilty of drawing a pencil is
(a) 1/2 (b) 1/8 (c) 2/8 (d) 3/8
8. A bag contains cards numbered from 1 to 25. A card is drawn at random from the bag. The 1
probability that the number on this card is divisible by both 2 and 3 is

9. Which of the following can be the probability of an event? 1

(a) -1 (b) 4 (c) 3 (d) 2/3
10. A month is selected at random in a year. The probability that it is March or October is 1

11. In a simultaneous throw of two dice, the probability of getting of getting a total of 7 is 1

12. When three coins are tossed, then total number of outcomes is 1
(a) 2 (b) 4 (c) 6 (d) 8
13. If P(A) denotes the probability of an event A, then 1
(a) P(A) < 0 (b) P(A) > 1 (c) 0 ≤ P(A) ≤ 1 (d) -1 ≤ P(A) ≤ 1
14. Which of the following cannot be the probability of an event? 1

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15. If P(E)=1, then P( not E)=? 1
(a) 0 (b) 1 (c) insufficient data (d) none of these
16. A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number 1
of outcomes favourable to E is
(a) 4 (b) 13 (c) 48 (d) 51
17. Which of the given probabilities is not possible? 1
(a) -1 (b) 1/4 (c) 2/4 (d) ¾
18. Two coins are tossed simultaneously. What is the probability of getting atleast one head? 1
(a) ¾ (b) 1/4 (c) 2/4 (d) 0/4
19. When two fair dice are thrown simultaneously. Probability of a number less than or equal to 6 on 1
both dice
(a) 1 (b) 1/36 (c) 2/36 (d) none of these
20. Probability of an event can lies between 1
(a) 0≤X≤1 (b) 1≤X≤10 (c) infinity (d) none of these
21. The probability that a non leap year selected at random will contain 53 Sunday's is 1

22. Probability of getting an ace from a deck of card is 1

(a) 1/13 (b) 12/52 (c) -1/13 (d) -12/52
23. A bag contains 50 slips which are marked with numbered from 1 to 50.If one slip is drawn at 1
random from the bag. Probability of getting g a square number on the slip is
(a) 6/50 (b) 5/50 (c) -5/50 (d) -6/50
24. When two fair dice are thrown simultaneously. Then, the probability of 1 on first throw and 2 on 1
second throw is
(a) 1/18 (b) 1/36 (c) insufficient data (d) none of these
25. In a deck of cards, what are the total number of outcomes? 1
(a) 52 (b) 48 (c) 51 (d) 46
26. The probability that non - leap year has 53 Sundays is 1

27. Probability of a red ace in a deck of cards is 1

(a) 1/26 (b) 1/52 (c) 2/28 (d) none of these
28. If the probability of an event is p, the probability of its complementary event will be 1

29. One card is drawn at random from a well shuffled deck of 52 cards then the probability of getting a 1
queen of red colour is

30. If an event cannot occur, then its probability is 1

31. A girl calculates that the probability of her winning the first prize in a lottery is 0.08. If 6,000 tickets 1
are sold, how many tickets has she bought?
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 (a) 40 (b) 240 (c) 480 (d) 750
32. Probability of getting a consonants in a word “NATRAJ”. 1
(a) 4/6 (b) 2/6 (c) 1/6 (d) none of these
33. Probability of “CHANDRAYAN-2” completes its mission is 0.99. What is the probability that it 1
will not complete its mission?
(a) 0.01 (b) -0.01 (c) 0.001 (d) none of these
Complete the following statements with appropriate word(s) in the blank spaces:
34. The sum of the probabilities if all the elementary events of an experiment is ____ 1
35. When three coins are tossed simultaneously. Then, there will be _______ outcomes 1
36. 1

37. When three dice are tossed simultaneously. Then, total number of outcomes will be ____ 1
38. There are ________ cards in each suit. 1
39. Performimg of an experiment is called _________ 1
40. 1

41. There are _______ suits in a deck of cards. 1

42. The probability of getting a prime number is ____ when a die is thrown once. 1
43. P(E)+______=1 1
44. 1

45. The set of all possible outcome in a trial is called __________ 1

46. Four suits are named as ______, _______, ______ and _________ 1
47. When a fair dice is thrown, probabilty of getting an integer is ____ 1
48. The sum of the probabilities of all the elementary events of an experiment is_____ 1
State whether the following statements are True or False:
49. Honourable cards are Ace, Jack, Queen,King and 10. 1
50. Probabilty of occurrence of an event is 27%. It is written as 0.27. 1
51. An event having only one outcome is called an elementary event. 1
52. If I toss a coin 3 times and get head each time, then I should expect a tail to have a higher chance in 1
the 4th toss.
53. A letter is choosen at random from English alphabet. Probabilty of the letter is a vowel is 5/26. 1
54. King, Queen and Jack are face cards. 1
55. Probabilty could be negative. 1
56. When an event cannot possibly succeed, we say it is an impossible event and probabilty of an 1
impossible event is zero.
57. There are 16 face cards in a deck of cards. 1
58. Heart and diamond are in red colour in deck of cards. 1
59. The probabilty of obtaining 9 on a single toss of a die is 0. 1
Following question contains two set of statements – Assertion (A) and Reason (R). Answer the
following question choosing the appropriate options given below:
A - Both A and R are true and R is the correct explanation of A.
B - Both A and R are true but
60. Assertion (A): The probabilty of not winning a game is 0.4 and winning a game is 0.6. 1
Reason ®: P(E) + P(not E)=1
61. Assertion (A): Probabilty of drawing a black ace is 1/13. 1
Reason ®: There are two black ace in deck of cards.
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62. 1

Reason (R) : |x| < 2 ⟹ -2 < x < 2 ⟹ x = { -1, 0, 1}, where x is an integer
(i) Both A and R are true and R is the correct explanation for A.
(ii) Both A and R are true and R is not the correct explanation for A.
(iii) A is true but R is false.
(iv) A is false but R is true.
63. Assertion (A): Probabiltyof getting an even in a single thrown of dIce is ½. 1
Reason® : There are three even numbers i.e(2,4 and 6)
64. Assertion(A): There are 26 red cards in a deck of cards. 1
Reason ®: Each suit contains 2 red cards and there are 13 cards in each suit.
65. Assertion (A):Total number of outcomes when a coin is tossed four times is 16. 1
Reason ®: Total outcome in a single toss of a coin is 2.
Solve the following
66. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability 1
that the ticket drawn bears a number which is a multiple of 3?
67. Which of the following experiments have equally likely outcomes? Explain. 1
A player attempts to shoot a basketball. She/he shoots or misses the shot.
68. Which of the following experiments have equally likely outcomes? Explain. 1
A trial is made to answer a true-false question. The answer is right or wrong.
69. A number is selected at random from the numbers 1 to 30. The probability that it is a prime number 1
(A) 2/3 (B) 1/6 (C) 1/3 (D) 11/30
70. A die is thrown once. Find the probability of getting a number less than 3. 1
71. It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 1
0.992. What is the probability that the 2 students have the same birthday?
72. If P(E) = 0.05, what is the probability of „not E‟? 1
73. Two dice are thrown together. The probability of getting the same number on both dice is: 1
(A) 1/2 (B) 1/3 (C) 1/6 (D) 1/12
74. Two coines are tossed simultaneously. Find the probability of getting exactly one head. 1
75. A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is 1
consonant.
76. Complete the following statements: 1
The probability of an event that is certain to happen is _________ . Such an event is called ________
77. A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of 1
getting neither a red card nor a queen.
78. A die is thrown once. What is the probability of getting a prime number? 1
79. A die is thrown once. What is the probability of getting a number lying between 2 and 6 ? 1
80. Complete the following statements: 1
The probability of an event is greater than or equal to _______ and less than or
equal to __________.
81. If two different dice are rolled together, the probability of getting an even number on both dice, is: 1
(A) 1/36 (B) 1/2 (C) 1/6 (D) 1/4
82. Cards each marked with one of the numbers 4, 5, 6,..........., 20 are placed in a box and mixed 1
thoroughly. One card is drawn at random from the box what is the probability of getting an even
number ?
83. The probability of getting an ever number, when a die is thrown once, is: 1

84. Complete the following statements: 1

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 Probability of an event E + Probability of the event „not E‟ = .__________
85. Which of the following cannot be the probability of an event? 1

86. One card is drawn at random from a well shuffled deck of 52 cards. What is the probability of 1
getting an ace ?
87. Which of the following experiments have equally likely outcomes? Explain. 1
A baby is born. It is a boy or a girl.
88. Which of the following cannot be the probability of an event? 1
(A) 2/3 (B) -1.5 (C) 15% (D) 0.7
89. A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the 1
probability that it bears a prime-number less than 23, is :

90. 1
91. Which of the following experiments have equally likely outcomes? Explain. 1
A driver attempts to start a car. The car starts or does not start.
92. Complete the following statements: 1
The probability of an event that cannot happen is _________. Such an event is called _______.
93. A die is thrown once. What is the probability of getting an odd number ? 1
94. Two coins are tossed simultaneously. What is the probability of getting at least one head ? 1
95. Why is tossing a coin considered to be a fair way of deciding which team should get the ball at the 1
beginning of a football game?
96. Complete the following statements: 1
The sum of the probabilities of all the elementary events of an experiment is __________
.
97. What is the probability that a number selected at random from the numbers 3, 4, 5, ..., 9 is a multiple 1
of 4 ?
98. One card is drawn from a well shuffled deck of 52 playing cards. What is the probability of getting a 1
non-face card ?
99. A bag contains 5 red, 8 green and 7 white balls. One ball is drawn at random from the bag. What is 1
the probability of getting a white ball or a green ball ?
100. A die is thrown once. What is the probability of getting a number greater than 4 ? 1
101. From a well shuffled pack of cards, a card is drawn at random. Find the probability of getting a 1
black queen.
-------- All the Best --------

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