CBSE Class 10 Mathematics Probability VBQs

CBSE Class 10 Mathematics Probability VBQs read and download in pdf. Value Based Questions come in exams for Mathematics in Class 10 and are easy to learn and helpful in scoring good marks. You can refer to more chapter wise VBQs for Class 10 Mathematics and also get latest topic wise very useful study material as per latest NCERT book for Class 10 Mathematics and all other subjects for free on Studiestoday designed as per latest Class 10 CBSE, NCERT and KVS syllabus and examination pattern

VBQ for Class 10 Mathematics Chapter 15 Probability

Class 10 Mathematics students should refer to the following value based questions with answers for Chapter 15 Probability in Class 10. These VBQ questions with answers for Class 10 Mathematics will come in exams and help you to score good marks

Chapter 15 Probability VBQ Questions Class 10 Mathematics with Answers

VALUE BASED QUESTIONS

Class : X

Subject: Mathematics

Topic : Probability

1. In a class of 35 students, 28 bring junk food.

Contextual question 

What is the probability that a student selected at random would have brought healthy snacks?

Value based Question: 

How can a student remain healthy for long?

Key Points:

* Avoiding junk food

* Eating healthy balanced diet

* Physical Exercise

2. In a period of 40 minutes a teacher devotes 20 minutes to teach the days topic, 15 minutes to solve the topic based problem and 5 minutes towards moral instructions.

Contextual question

What is the probability that the children solve the topic based problem.

Value based Question: 

What are the values imbibed by students in “Moral instructions” segment?

Key Points:

* Disciplinz

* Honesty

* Punctuality

* Obedience 

3. A card is drawn from a well shuffled deck of cards.
 
Contextual question 
 
Find the probability of drawing
 
i. a king of red colour 
ii. The queen of diamonds 
iii. neither a king nor a queen
 
Value based Question: 
 
Assuming king and queen to be parents, why must students obey the parents?
 
Key Points:
 
Parents are more experienced than children 
 Shower love and affectioz 
 They know the mentality of the children best 
 Care more than others do
 
4. In a class of 50 students 35 complete their project on time. Contextual question  What is the probability the student chosen at random will not have done the project on time?
 
Value based Question:
 
What are the values a student must possess to complete the project on time?
 
Key Points:
 
*Listening carefully in a class 
* Writing down important points 
* Planning of time 
* Execution of plan
 
5. Three unbiased coins are tossed together.
 
Contextual question:
 
Find the probability of getting
 
i. atmost two tails
ii. two heads
iii. atleast two tails
 
Value based Question: 
 
What are the values we must follow to earn money?
 
Key Points:
 
*  Honesty
*  Not by cheating
*  Not by stealing
*  Not being greedy to earn more
 
6. Two dice, one black and one white are thrown at the same time.
 
Contextual question :
 
Write down all the possible outcomes. What is the probability that
 
i. 5 will not come up either time
ii. 5 will come up atleast once
iii. less than or equal to 12
 
Value based Question: 
 
Like the six faces of a die write any one best face (quality) of a student.
 
Key points:
 
*  Smiling face
*  Enthusiastic face
*  Loving face
* Helpful face
 
7. A village consists of Christians, Muslims and Hindus. A person is chosen at random from the village. The probability of chosen one being a Christian is
3/10 and that of Muslim person is 2/5.
 
Contextual question
 
Find the probability of choosing a Hindu person. If the village consists of 20 Muslims, then find the total number of persons in the village.
 
Value based Question:
 
Suggest a value for national integrity.
 
Key points:
 
*  Equality
*  Harmony
* Unity
*  Patriotism
 
8. A letter is chosen at random from the letters of the word “KNOWLEDGE”.
 
Contextual question 
 
Find the probability that the letter chosen is
i. Vowel
ii. Consonant
 
Value based Question: 
 
What are the values a student has to adopt to get a good knowledge in a subject?
 
Key points:
 
* Attentiveness
* Punctuality
*Practicing on his own
* Being focused
 
 
MCQs

Question. Two dice are thrown at the same time, what is the probability that the sum appearing on the two top 8 is -------
(a) 5/8
(b) 5/36
(c) 5/12
(d) None
Answer : B

Question. One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a king of red colour
(a) 1/26
(b) 2/13
(c) 1/13
(d) 3/26
Answer : A

Question. 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

Question. Which of the following never be the probability of an event of any random experiment.
(a) 112%
(b) 7/5
(c) -0.3%
(d) all of these
Answer : D

Question. A bag contains 40 balls out of which some are red, some are blue and remaining are black. If the probability of drawing a red ball is 11/20 and that of blue ball is 1/5 , then what is the no. of black ball.
(a) 5
(b) 10
(c) 15
(d) 20
Answer : B

Question. A coin is flipped to decide which team starts the game. What is the probability of your team will start?
(a) 1/4
(b) 1/2
(c) 1
(d) 0
Answer : B

Question. In a lottery, there are 10 prizes and 25 blanks. Find the probability of getting a prize.
(a) 2/7
(b) 5/7
(c) 3/7
(d) None
Answer : A

Question. Out of first 24 tickets 14 males have already won the ticket and remaining are won by females. Chances that last ticket is won by Geeta is.
( a) 24/25
(b) 11990/20000
(c) 1/19976
(d) 11990/19976
Answer : C

Question. How many more males should have sent SMS`s so that the chances of winning a ticket is equal for both male/female
( a) 4000
(b) 2000
(c) 12000
(d) cannot be determined
Answer : A

Question. In the same condition, the number of winner tickets is doubled and one ticket is left for male while rest are won by female. Find the probability of winning last ticket by any male.
(a) 1/19951
(b) 1/8000
(c) 8000/19951
(d) cannot be determined
Answer : C

 

Case Study 1:

Most People use playing card decks just for fun and to spend time. However, there are many benefits of playing cards. It improves patience, concentration and boosts memory skills. All these help everyone in their daily life. It helps to make people socialized and help to connect with people of all mindset.

""CBSE-Class-10-Mathematics-Probability

Three friends play a game with playing cards. They remove Red and black colour of king , queen and ace from a pack of 52 playing cards.
Based on the above information, answer the following questions.

(i) Find the probability of red colour card from the pack.
Answer : 1/2)

(ii) Find the probability of getting a spade.
Answer : 1/4)

(iii) Find the probability of getting jack of red colour.
Answer : 1/20)

 

Case Study 2:
Playing cards
Four persons are playing a bridge game forming teams each of two players. A deck of 52 playing cards is distributed around the table clockwise in such a way that each person gets 13 cards.

""CBSE-Class-10-Mathematics-Probability-1

(i) Find the probability of the card drawn by each player with number 5 or 6.
(a) 2/13
(b) 11/13
(c) 1/13
(d) 12/13
Answer : A

(ii) Find the probability of the card drawn by each player with number less than 8.
(a) 6/13
(b) 5/13
(c) 7/13
(d) None of these
Answer : C

(iii) Find the probability of the card drawn by each player with number between 2 and 9.
(a) 7/13
(b) 5/13
(c) 6/13
(d) 3/13
Answer : C

(iv) What is the probability that any one person gets queen of spade?
(a) 1/3
(b) 1/4
(c) 1/2
(d) 1
Answer : B

 

Assertion and Reason Questions

Question. Assertion: If a box contains 5 white, 2 red and 4 black marbles, then the probability of not drawing a White marble from the box is 5/11 .
Reason: P (Not E) () = 1 - P (E) , where E is any event.
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true
Answer : D

Question. Assertion: The probability of winning a game is 0.4, then the probability of losing it, is 0.6
Reason: P (E) + P (not E) = 1
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true
Answer : A

 

Very Short Answer type Questions

Question. A bag contains 15 white and some black balls. If the probability of drawing a black ball from the bag is thrice that of drawing a white ball, find the number of black balls in the bag.
Answer : 45

Question. A coin is tossed two times. Find the probability of getting both heads or both tails
Answer :
1/2

Question. A group consists of 12 persons, out of which 4 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected , find the probability of selecting a person who is
(i) extremely patient.
(ii) extremely kind or honest.
Answer :
1/3 (ii) 2/3

Question. A card is drawn from a well – shuffled pack of 52 cards. Find the probability that the card drawn is either a red card or a queen
Answer : 7/13

Question. A card is drawn from a well – shuffled pack of 52 cards. Find the probability of getting
(i) a red king
(ii) a queen or jack
Answer :
1/26 (ii) 2/13

Question. A pair of dice is thrown once. Find the probability of getting
(i) doublet of prime numbers
(ii) a doublet of odd numbers.
Answer : 1/12, 1/12

Question. In a family of 3 children calculate the probability of having at least one boy.
Answer : 
7/8

Question. All the three face cards of spades are removed from a well- shuffled pack of 52 cards. A card is drawn at random from the remaining pack. Find the probability of getting
(i) a black face cards
(ii) a queen
(iii) a black card
Answer :
3/49, 3/49, 23/49

Question. 12 defective pens are accidentally mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from the lot .Determine the probability that the pen taken out is a good one
Answer : 11/12

Question. From a bag containing 5 red , 8 black and 7 blue balls , a ball selected at random .Find the probability that
(i) it is not a red ball
(ii) it is a blue ball
Answer :
3/4 (ii) 27/20

Question. A child has a die whose six faces show the letters as given below:
A           B          ​​​​​​​ C           ​​​​​​​ D          ​​​​​​​ E           A
The die is thrown once. What is the probability of getting
(i) A
(ii) D?
(III) Vowels:
Answer : 
1/3 , 1/6 , 1/2

Question. A number x is selected at random from the numbers 1 , 4 , 9 , 16 and another number y is selected at random from numbers 1 , 2 ,3 4 . Find the probability that the value of xy is more than 16
Answer :
3/8

Question. A bag contains 2 green, 3 red and 4 black balls. A ball is taken out of the bag at random. Find the probability that the selected ball is
(i) not green
(ii) not black
Answer : 
7/9 , 5/9

Question. A box contains cards bearing numbers 6 to 70. If one card is drawn at random from the box ,find the probability that it bears
(a) not a one digit number
(b) a number not divisible by 5
(c) number is a perfect square
Answer : 
61/65, 52/65, 6/65

Chapter 03 Pair of Linear Equations in Two Variables
CBSE Class 10 Mathematics Pair of Linear Equations in Two Variables VBQs
Chapter 13 Surface Areas and Volumes
CBSE Class 10 Mathematics Surface Areas And Volume VBQs

VBQs for Chapter 15 Probability Class 10 Mathematics

We hope students liked the above VBQs for Chapter 15 Probability designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download the Value Based Questions and Answers in Pdf format and practice the questions and solutions given in above Class 10 Mathematics VBQs Questions on daily basis. All latest VBQs with answers have been developed for Mathematics by referring to the most important and regularly asked topics which the students should learn and practice to get better score in school tests and examinations. Expert teachers of studiestoday have referred to NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 VBQs. After solving the questions given in the VBQs which have been developed as per latest course books also refer to the NCERT solutions for Class 10 Mathematics designed by our teachers. We have also provided a lot of other VBQs for Class 10 Mathematics which you can use to further make yourself better in Mathematics.

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