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# Class 12-science RD SHARMA Solutions Maths Chapter 31 - Probability

## Probability Exercise Ex. 31.3

### 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).

## Probability Exercise Ex. 31.4

### 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.

## Probability Exercise 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 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 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)