Chap-15 MCQs - AMU/JMI XI-Dip.Engg. Entrance Test

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Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15
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Chapter 15  : Probability  Class IX  Answers
We are also conducting class room program for the preparation of AMU/JMI XI/Dip.Engg. Entrance Test-2018

1a. The first book on the subject of probability was written by 

a)      The Italian mathematician, J.Cardan

b)      Isaac Newton 

c)       Chevalier de Mere

d)      Blaise Pascal

2a. The title of the first book on the subject of probability was

a)      The concept of probability, published in 1663.

b)      The concept of probability, published in 1763.

c)       Book on Games of Chance, published in 1663.

d)      Book on Games of Chance, published in 1763.

3a. Which of following Mathematicians contributes to develop the concept of probability?

a)      J. Bernoulli (1654–1705)

b)      P. Laplace (1749–1827)

c)       A.A. Markov (1856–1922) & A.N. Kolmogorov (born 1903).

d)      All of the above

4a. The empirical probability of happening an event depend on

a)      The number of trials undertaken

b)      Number of times of happening an event in the trials

c)       Both a & b

d)      None

5a. The empirical probability of happening an event

a)      is a constant value

b)      kept changing with number of trial and happening of the event in the trial

c)       Does not change with number of trial and happening of the event in the trial

d)      None

6a. If E₁, E₂ and E₃ are all possible outcomes of a trial then

a)      P(E₁) + P(E₂) + P(E₃) = 0

b)      P(E₁) + P(E₂) + P(E₃) < 1

c)       P(E₁) + P(E₂) + P(E₃) > 1

d)      P(E₁) + P(E₂) + P(E₃) = 1

7a. If x is the probability of an event then

a)      x ≥0

b)      X= 1

c)       0 ≤ x ≤1

d)      0 ≥ x ≥ 1

8a. The sum of all the probabilities of events of a trail is

a)      Equal to 0

b)      Equal to 1

c)       Greater than 1

d)      Less than 1

9a: According to a survey of 150 students the probability of student who wants to be a doctor is 0.42.Find the probability of students who don’t want to be a doctor.

a)      0.42

b)      0.50

c)       0.58

d)      0.60

10a. According to a survey of 150 students the probability of student who wants to be doctor is 0.42.Find the number of students who don’t want to be doctor.

a)      57

b)      87

c)       97

d)      107

11a. The probability of getting an event is x. What is the probity of not getting the event

a) 0                           b) 1-x

c) 1+x                      d) –x

12a. The empirical probability of an event based on 1000 trial is 0.35. Find the number of trial in which the event happened.

a) 35                                 b) 350

c) 650                              d) 1000

13a. The probability of happening an event based of trial or experiment or survey is known as 

a)      Experimental probability

b)      Empirical probability

c)       Both a & b

d)      None

14a. The accuracy of empirical probability

a)      increases as the number of trial increases

b)      decreases as the number of trial increases

c)       remain the same with increase in number of trials

d)      None

15a. If E1, E2, ……… En are all possible outcomes of a trials, then

a)      P(E1) + P(E2 ) + ……… + P(En) = 0

b)      P(E1) + P(E2 ) + ……… + P(En) = 1

c)       P(E1) + P(E2 ) + ……… + P(En) > 1

d)      P(E1) + P(E2 ) + ……… + P(En) < 0

16a. Out of 500 forecasts for happening rainfall in a city in the month of July, 450 were correct. What is the probability of not happening rainfall in the city in July?

a) 0.9                              b) 0.75

c) 0.2                              d) 0.1

17a. Based on previous year’s data, the weather forecast department announces the probability of happening thunder & storm as 0.92.What is the probability of not happening thunder & storm?

a) 0.92                             b) 0.08

c) 0.75                             d) 1

18a. A washing machine company has record of 500 washing machines about its complain during a warranty period of 5 years as

years	1st	2nd	3rd	4th	5th
No of Complaints	20	60	105	150	165

If you buy the washing machine of this company, what is the probability that there would be no complain during its warranty period

a) 0                                  b) 0.04

c) 0.12                             d) 0.21

19a. A washing machine company has record of 500 washing machines about its complain during a warranty period of 5 years as

years	1st	2nd	3rd	4th	5th
No of Complaints	20	60	105	150	165

If you buy the washing machine of this company, what is the probability of complain during first year

a) 0                                  b) 0.04

c) 0.12                             d) 0.21

20a. A washing machine company has record of 500 washing machines about its complain during a warranty period of 5th years as

years	1st	2nd	3rd	4th	5th
No of Complaints	20	60	105	150	165

If you buy the washing machine of this company, what is the probability of complain during last year of warranty period

a) 0                                  b) 0.04

c) 0.22                             d) 0.33

21a. A washing machine company has record of 500 washing machines about its complain during a warranty period of 5 years as

years	1st	2nd	3rd	4th	5th
No of Complaints	20	60	105	150	165

If you buy the washing machine of this company, what is the probability of no complain during the warranty period.

a) 0                                  b) 0.04

c) 0.22                             d) 0.33

22a. The percentage of marks obtained by a student in last five classes are given below:

Class	I	II	III	IV	V
% age Marks Obtained	65	51	60	75	70

Based on this data, find the probability that the student gets more than 75% marks in class VI.

a) 0                                  b) 0.01

c) 0.02                             d) 0.03

23a. The percentage of marks obtained by a student in last five classes are given below:

Class	I	II	III	IV	V
% age Marks Obtained	65	51	60	75	70

Based on this data, find the probability that the student gets less than 50% marks in class VI

a) 0                                  b) 0.01

c) 0.02                             d) 0.03

24a. Two coins are tossed simultaneously 200 times with the following frequencies of different outcomes:

Outcome	No Head	One Head	Two Bead
Frequency	60	75	65

If the two coins are simultaneously tossed again, compute the probability of 2 tails coming up.

a)      0.3

b)      0.375

c)       0.325

d)      0.4

25a. Two coins are tossed simultaneously 200 times with the following frequencies of different outcomes:

Outcome	No Head	One Head	Two Bead
Frequency	60	75	65

If the two coins are simultaneously tossed again, compute the probability of one tails coming up.

a)      0.3

b)      0.375

c)       0.325

d)      0.4
Chapter 15  : Probability  Class X  Answers

1. The first book on the subject of probability was written by

a)      Italian physician and mathematician J.Cardan.

b)      mathematician and astronomer Nicolaus Copernicus

c)       Charles Robert Darwin

d)      Louis Pasteur

2. The Name of first book on the subject of probability was

a)      The Probability

b)      The Concept of Probability

c)       The Book on Games of Chance

d)      None

3. A bag contains 4 red balls and 5 blue balls, all the balls being same size and shape. Sunita takes out one ball with looking into it. What is the probability that she takes out yellow ball?

a)      0

b)      1

c)       4/9

d)      5/9

4. A bag contains 4 red balls and 5 blue balls, all the balls being same size and shape. Sunita takes out one ball with looking into it. What is the probability that she takes out either a red or a blue ball?

a)      0

b)      1

c)       4/5

d)      4/9

5. A bag contains 4 red balls and 5 blue balls, all the balls being same size and shape. Sunita takes out one ball with looking into it. What is the probability that she takes out a red?

a)      0

b)      1

c)       4/5

d)      4/9

6. The sum of the probabilities of all the elementary events of an experiment is

a)      1

b)      less than one

c)       greater than one

d)      greater than 0 less than 1

7. Suppose we throw a die once. What is the probability of getting a number which is multiple of 9?

a)      0

b)      1

c)       9/6

d)      6/9

8. Suppose we throw a die once. What is the probability of getting a number which is multiple of 3?

a)      0

b)      1

c)       1/2

d)      1/3

9. Suppose we throw a die once. What is the probability of getting a number which is less than 6?

a)      0

b)      1

c)       1/2

d)      1/3

10. A bag contains balls of different colors. Let A be the event ‘getting a blue color ball from a bag’ and B be the event ‘getting a ball other than blue color’. The relation between probability of events P (A) & P (B) is

a)      P (A) + P (B) = 0

b)      P (A) + P (B) < 1

c)       P (A) + P (B) = 1

d)      P (A) + P (B) > 1

11. The proximity of an event is 3/5. Find the probability of its complementary event.

a)      1/5

b)      2/5

c)       3/5

d)      4/5

12. An event and its complementary event

a)      Always occur simultaneously

b)      May sometimes occur simultaneously

c)       Can’t occur at the same time

d)      None

13. Two dice are thrown simultaneously. The event of getting numbers whose some is greater than equal to 2 is

a)      an impossible event

b)      a complementary event

c)       a sure event or a certain event

d)      both a & b

14. Two dice are thrown simultaneously. The event of getting numbers whose some is greater than equal to 12 is

a)      an impossible event

b)      a complementary event

c)       a sure event or a certain event

d)      both a & b

15. Which of the following may be the probability of getting rain on coming weekend?

a)      -4/7

b)      12/7

c)       5/7

d)      None

16. One card is drawn from a well-shuffled deck of 52 cards. Calculate the probability that the card will be an ace of red color.

a)      0

b)      1/13

c)       1/26

d)      1/52

17. One card is drawn from well-shuffled face cards of a deck of 52 cards. Calculate the probability that the card will be Queen.

a)      1/3

b)      1/4

c)       2/3

d)      3/4

18. One card is drawn from a well-shuffled deck of 52 cards. Calculate the probability that the card will be a king.

a)     1/13

b)      2/13

c)       3/26

d)      5/52

19. One card is drawn from a well-shuffled deck of 52 cards. Calculate the probability that the card will be either a king or a queen

a)      1/13

b)      2/13

c)       3/26

d)      5/52

20. Team A and team B are playing cricket. If the probability of winning team A is 0.45, what will be the probability of winning team B.?.

a)      0

b)      1

c)       0.45

d)      0.55

21. What is the probity that two friends have same birthday?

a)      1/365

b)      2/365

c)       7/365

d)      364/365

22. A box contains 5 red balls, 10 blue balls and 15 white balls. If a marble is drawn at random from the box, what is the probability that it will be either white or a blue ball?

a)      1/2

b)      1/3

c)       2/3 

d)      5/6

23. Arjun tosses three different coins simultaneously. What is the probability that he gets at least one tail?

a)      1/8

b)      7/8

c)       1/6

d)      5/6

24. Arjun tosses three different coins simultaneously. What is the probability that he gets at all tails or all heads?

a)      1/2

b)      1/3

c)       1/4

d)      1/5

25. A die is thrown on a board as shown in figure.

Find the probability that the die will all inside the square.

a)      4/15

b)      6/15

c)       2/3

d)      2/5
Answers

Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15

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