AP 9th Maths Mock Test 2021 For Chapter – 14 : “Probability” Online Practice Test

1. When a dice is thrown , the probability of getting a prime number is
2. Two pair of dice are thrown , then number of possible outcomes are
3. Determine the probability of getting an even number when a die is rolled
4. Two numbers are chosen from 1 to 5 , find the probability for the two numbers to be consecutive
5. The probability of getting odd number in a units place
6. A bag contains 3 white and 5 red balls , if a ball is drawn at random , find the probability that it is red
7. In a deck of cards , a card is drawn at random , then the probability of getting a jack or a king ?
8. One card is drawn from well shuffled deck of 52 , what is the probability of drawing a red card ?
9. Find the probability for a randomly selected number out 1 , 2 , 3 ........ 25 to be a prime number
10. One card is drawn from a well-shuffled deck of 52 cards , what is the probability of getting a king
11. There are 36 students in a class of whom 20 are boys and remaining are girl . What is the probability that students chosen is a girl ?
12. Two dice are thrown simultaneously , what is the probability of getting a doublet ?
13. A bag contains numbers 1 , 2 , 3 , 4 , ............. 35. What is the probability of getting a multiple of 8
14. P(A) =
15. If a coin is tossed , then find the probability of getting head
16. Find the probability of both head and tail
17. If a coin tossed , find the probability of getting an odd number
18. If a coin tossed , find the probability of getting '3'
19. If a die is rolled , then find the probability of getting a number 4
20. If a die is rolled then find the probability of getting an even number
21. If a die is rolled then find the probability of getting all numbers
22. If a die is rolled then find the probability of prime numbers
23. The probability of happening of an event is 45% then find the probability of that event
24. A die is rolled twice , find probability of getting prime number as a sum
25. Two dices are thrown at a time , what is the probability that the difference of the number shown on the dice is 1 ?
26. A card is drawn from a packet of 100 cards numbered 1 to 100 , find the probability of drawing a number which is a square
27. The probability that a non - leap year will have only 52 Sundays is
28. The probability that a non - leap year will have only 53 Sundays is
29. The probability that a leap year will have 52 Mondays is
30. The probability that a leap year will have 52 Sundays is
31. The probability that the February of a leap year will have 5 Saturdays is
32. In a non leap year the probability of getting 53 Sundays or 53 Tuesdays or 53 Thursdays
33. Assertion A : Choosing two marbles from a jar is an experiment
Reason R : An experiment is a situation involving chance or probability  that leads to result called outcomes
34. Assertion A : Two dice are rolled . The possible outcomes are 36
Reason R : The probability of choosing a consonant from the alphabet is \frac{5}{26}
35. Assertion A : The probability of getting atleast one head when three unbiased coins are tossed is \frac{7}{8}
Reason R : The probability of an event is always lies between zero and one
36. Assertion A : The probability of getting holiday on Ramzan is '1'
Reason R : The probability of an event which is certain is '1'
37. Assertion A : When a dice is thrown the probability of getting a prime number on the top face is \frac{1}{2}
Reason R : The probability of an event which is less likely is 0
38. Assertion A : When a dice is thrown the probability of getting a factor of 6 is \frac{1}{2}
Reason R : In a cricket match , a batsman hits a boundary 8 times out of 40 balls , then the probability that he didn't hit a boundary is 0.8
39. Assertion A : The probability that a leap year will have only 52 Sundays is \frac{5}{7}
Reason R : The probability that a leap year will have 53 Mondays or 53 Tuesdays is \frac{3}{7}
40. Find the probability of the dart hitting the board in the circular region B

a. Area of 'A' and 'C' regions are 5 \pi and \pi
b.\pi
c.Probability = \frac{3 \pi }{9 \pi } = \frac{3 }{9}
d.Area of 'B' region = 9\pi - 5\pi - \pi
Arrange the steps orderly
41. The probability of an experiment is always lies between
42. Probability of an impossible event is
43. Probability of certain event is
44. In an experiment sum of all probabilities of an event is
45. What is probability of choosing a vowel from the alphabet?
46. Two coins are tossed simultaneously . The probability of getting atleast one head is
47. Which of the following is an experiment ?
48. Two coins are tossed simultaneously . The probability of getting atleast 2 tails is
49. Match the following
  1. A die is rolled , find the probability that the no.obtained is > 4                                                  ( ) A. \frac{1}{4}
  2. 2 coins are tossed , find the probability that 2 heads are obtained                                            ( ) B. \frac{1}{2}
  3. If die is thrown once , what is the probability that the face that lands uppermost has a prime number                                                                                                                                                   ( ) C. \frac{1}{3}
  4. 'A' tosses 2 coins while B tosses 3 . The probability that B obtain more no.of heads                ( ) D. \frac{3}{4}
50. When a die is thrown
  1. The probability of getting 4 points upward is                            ( ) A. \frac{1}{6}
  2. Probability of getting 4 - 5 points upward is                              ( ) B. \frac{1}{3}
  3. Probability of getting even points upward is                              ( ) C. \frac{1}{2}
  4. Probability of getting any 1 of 6 points upward is                     ( ) D. 1
51. Find the true statement ?

a. If we toss two coins , then the possible outcomes are 4
b. If we toss one coin , then the possible outcomes are two
c. If we toss 3 coins , then the possible outcomes are eight
d. P(A) = \frac{No.of favourable outcomes}{No.of possible outcomes}
52. Find the true statement ?

a. The probability of an event which is certain = 1
b. The probability of an event which is impossible = 0
c. 0 < probability of an event < 1
d. Sum of probabilities of all outcomes of a random experiment is always '0' or '1'
53. Find the true statement ?

a. The number of trails increase , the probability of all equally likely outcomes come very close to each other
b. The manner of judgement are most likely , equally likely
c. The manner of chance are no chance , certainly
d. The manner of chance is not same or equal to the manner of judgement
54. Statement I : Probability theory is nothing but common sense reduced to calculations
Statement II : A collection of two or more possible outcomes of a trail of a random experiment is called compound event
Statement III : Probability of an event A , is 0\leqP(A)\leq1
55. If a die thrown 600 times and the occurrences of the outcomes are given below
The probability of getting a composite number is
56. The unit's place digit of 200 peoples mobile number is observed and the following table is plotted
A number is chosen at random . The probability that its unit place has prime number is
57. From the above table , which of the following is an outcome ?
58. From the above table , Spinning is an example for
59. From the above table , the probability of an event is
60. What is the probability that a randomly thrown dart that hits the square board in shaded region

a. 4 \times 4 - \frac{22}{7} \times 2 \times 2 = \frac{24}{7}
b. Probability = \frac{\frac{24}{7}}{16}
c. = \frac{24}{7} \times \frac{1}{16} = \frac{3}{14}
d. Favourable outcomes = Ar(square) - Ar(circle)
e. Total outcomes = 16
Arrange the steps orderly
61. In Deck of 52 cards , probability that pick out face card
62. In Deck of 52 cards , probability that pick out spade card
63. In Deck of 52 cards , probability that taken out red face card
64. In Deck of 52 cards , probability that taken out number card
65. In Deck of 52 cards , probability that taken out 'Ace' card
66. If you try to start a bike , the no.of possible outcomes are
67. When we throw a die , the no.of possible outcomes are
68. If three coins are tossed simultaneously then write probability for getting no tails
69. If three coins are tossed simultaneously then write probability for getting at least one head
70. A coin is tossed 100 times with Head 45 times and Tails 55 times from the experiment then compute the probability in each outcomes
71. A coin is tossed 100 times with Head 45 times and Tails 55 times from the experiment then find the sum of all probabilities of all outcomes
72. A letter is chosen from English alphabet then find the probability of letters being a vowel is
73. A letter is chosen from English alphabet then find the probability of letters comes after P
74. A letter is chosen from English alphabet then find the probability of letters not a vowel
75. What is the probability that a randomly thrown dart that hits the square board in shaded region ?
76. Which of the following is not related to 'Certain' ?
77. 'The sun rises in the west' is example for
78. "Both teams winning the toss" is example for
79. "Generating plants from the seeds" is example for
80. Something that cannot happen is chance of
81. Which of the following are examples for less likely ?
82. Which of the following are examples for equally likely ?
83. Which of the following is unlikely ?
84. When we spin wheel shown , the possible outcomes are
85. A bag contain the 5 brinjals , 6 potatoes and 4 tomatoes then sum of the probability is
86. A box contain 3 red balls , 2 blue balls and 10 white balls then the probability of red balls is
87. A box contain 3 red balls , 2 blue balls and 10 white balls then the probability of white balls is
88. A box contain 3 red balls , 2 blue balls and 10 white balls then the probability of blue balls is
89. At which colour is the pointer more likely to stop ?
90. When we perform an experiment repeatedly under identical conditions , each repetition is called
91. At which colour is the pointer less likely to stop ?
92. Probability of certain event is
93. At which colour the pointer equally likely stops ?
94. Probability of an impossible event is
95. What is the chance the pointer will stop on black ?
96. Sum of probabilities of all events of an experiment is always
97. Is there any colour at which the pointer certainly stops ?
98. As number of trails increases , probabilities of ................................. event come nearer to each other
99. Sun rising in the east is a
100. The empirical probability of an event E is given by

 

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