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# RD Sharma Solution for Class 12 Science Mathematics Chapter 31 - Probability

Our RD Sharma Textbook Solutions are considered extremely helpful for solving the tough questions which are asked in the CBSE Class 12 exam. TopperLearning Textbook Solutions are compiled by subject experts. Herein, you can find all the answers to the textbook questions for Chapter 31 - Probability.

All our solutions are created in accordance with the latest CBSE syllabus, and they are amended from time to time to provide the most relevant answers. Our free RD Sharma Solutions for CBSE Class 12 Mathematics will strengthen your fundamentals in Mathematics and will help you in your attempts to score more marks in the final examination. CBSE Class 12 students can refer to our solutions any time — while doing their homework and while preparing for the exam.

Exercise/Page

Solution 1

Solution 2

Solution 3

Solution 4

Solution 5

Solution 6

Solution 7

Solution 8

Solution 9

Solution 1

Solution 2

Solution 3

Solution 4

Solution 5

Solution 6(i)

Solution 6(ii)

Solution 6(iii)

Solution 7

Solution 8

Solution 9

Solution 10

Solution 11

Solution 12

Solution 13

Solution 14

## RD Sharma Solution for Class 12 Science Mathematics Chapter 31 - Probability Page/Excercise 31.3

Solution 1

Solution 2

Solution 3

Solution 4

Solution 5(i)

Solution 5(ii)

Solution 5(iii)

Solution 5(iv)

Solution 6

Solution 7

Solution 8

Solution 9

Solution 10

Solution 11

Solution 12

Solution 13

Solution 14

Solution 15

Solution 16

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Solution 24

Solution 25

Solution 26

Solution 27

(i) Let 'A' be the event that both the children born are girls.

Let 'B' be the event that the youngest is a girl.

We have to find conditional probability P(A/B).

(ii) Let 'A' be the event that both the children born are girls.

Let 'B' be the event that at least one is a girl.

We have to find the conditional probability P(A/B).

## RD Sharma Solution for Class 12 Science Mathematics Chapter 31 - Probability Page/Excercise 31.4

Solution 1(i)

Solution 1(ii)

Solution 1(iii)

Solution 2

Solution 3(i)

Solution 3(ii)

Solution 3(iii)

Solution 4

Solution 5

Solution 6

Solution 7

Solution 8

Solution 9

Solution 10

Solution 11

Solution 12

Solution 13

Solution 14

Solution 15

Solution 16

Solution 17

Solution 18

Solution 19

Solution 20

Solution 21

Solution 22

Solution 23

Given that the events 'A coming in time' and 'B coming in time' are independent.

The advantage of coming to school in time is that you will not miss any part of the lecture and will be able to learn more.

Solution 24

Solution 25

Solution 1

Solution 2

Solution 3

Solution 4

Solution 5

Solution 6

Solution 7

Solution 8

Solution 9

Solution 10

Solution 11

Solution 12

Solution 13

Solution 14

Solution 15

Solution 16

Solution 17

Solution 18

Solution 19

Solution 20

Solution 21

Solution 22

Solution 23

Solution 24

Solution 25

Solution 26

Solution 27

Solution 28

Solution 29

Solution 30

Solution 31

Solution 32

Solution 33

Solution 34

Solution 35

Solution 1

Solution 2

Solution 3

Solution 4

Solution 5

Solution 6

Solution 7

Solution 8

Solution 9

Solution 10

Solution 11

Solution 12

Solution 13

Solution 1

Solution 2

Solution 3

Solution 4

Solution 5

Solution 6

Solution 7

Solution 8

Solution 9

Solution 10

Solution 11

Solution 12

Solution 13

Solution 14

Solution 15

Solution 16

Solution 17

Solution 18

Solution 19

Solution 20

Solution 21

Solution 22

Solution 23

Solution 24

Solution 25

Solution 26

Solution 27

Solution 28

Solution 29

Solution 30

Solution 31

Solution 32

Solution 33

Solution 34

Solution 35

Solution 36

## RD Sharma Solution for Class 12 Science Mathematics Chapter 31 - Probability Page/Excercise MCQ

Solution 1

Correct option: (a)

Solution 2

Correct option: (a)

Solution 3

Correct option: (a)

Solution 4

Correct option: (b)

Solution 5

Correct option: (a)

Solution 6

Correct option: (a)

Solution 7

Correct option: (b)

Solution 8

Correct option: (d)

Solution 9

Correct option: (a)

Solution 10

Correct option: (c)

Solution 11

Correct option: (c)

Solution 12

Correct option: (d)

Solution 13

Correct option: (a)

Solution 14

Correct option: (a)

Solution 15

Correct option: (b)

Solution 16

Correct option: (a)

Solution 17

Correct option: (a)

Solution 18

Correct option: (c)

Solution 19

Correct option: (d)

Solution 20

Correct option: (a)

Solution 21

Correct option: (d)

Solution 22

Correct option: (d)

Solution 23

Correct option: (c)

Solution 24

Correct option: (b)

Solution 25

Solution 26

Correct option: (a)

Solution 27

Correct option: (c)

Solution 28

Correct option: (a)

Solution 29

Correct option: (b)

Solution 30

Correct option: (b)

Note: option is modified.

Solution 31

Correct option: (a)

Solution 32

Correct option: (c)

Solution 33

Correct option: (c)

Solution 34

Correct option: (d)

Solution 35

Correct option: (d)

Solution 36

Correct option: (d)

Solution 37

Correct option: (d)

Solution 38

Correct option: (d)

Solution 39

Correct option: (a)

Solution 40

Correct option: (c)

Solution 41

Correct option: (c)

P(A B)= P(A) P(B) for independent events.

Solution 42

Correct option: (d)

Solution 43

Correct option: (c)

Solution 44

Correct option: (a)

Solution 45

Correct option: (b)

Solution 46

Correct option: (b)

Solution 47

Correct option: (c)

Solution 48

Solution 49

Correct option: (a)

Solution 50

Correct option: (a)

Solution 51

Correct option: (d)

Solution 52

Correct option: (d)

Solution 53

Correct option: (c)

Solution 54

Correct option: (b)

Solution 55

Correct option: (c)

Solution 56

Correct option: (c)

Solution 57

Correct option: (d)

Solution 58

Correct option: (d)

Solution 59

Correct option: (c)

Solution 1

Solution 2

Solution 3

Solution 4

Solution 5

Solution 6

Solution 7

Solution 8

Solution 9

Solution 10

Solution 11

Solution 12

Solution 13

Solution 14

Solution 15

## Browse Study Material

TopperLearning provides step-by-step solutions for each question in each chapter in the RD Sharma textbook for class 9. Access the CBSE Class 9 Mathematics Chapter 31 - Probability for free. The textbook questions have been solved by our subject matter experts to help you understand how to answer them. Our RD Sharma Textbook Solutions will help you to study and revise, and you can easily clear your fundamentals of Chapter 31 - Probability.

# Text Book Solutions

CBSE XII Science - Mathematics

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