**NCERT Solutions for Class 8 Maths Chapter 4 ****Data Handling**** Ex 4.2**

NCERT Solutions for Class
8 Maths Chapter 4
Data Handling Ex 4.2 are the part of NCERT Solutions for Class 8 Maths (Rationalised Contents).
Here you can find the NCERT Solutions for Class 8 Maths Chapter 4 Data Handling Ex
4.2**.**

**Ex ****4.2**** Class 8 Maths Question 1.**

### List the outcomes you can see in these experiments.

(a) Spinning a wheel

(b) Tossing two coins together

**Solution:**(a) On spinning the wheel, we can get the following outcomes: {A, B, C, D}

(b) When two coins are tossed together, we get the following outcomes:

{HH, HT, TH, TT}

(Where H denotes Head and T denotes Tail)

**Ex ****4.2**** Class 8 Maths Question 2.**

### When a die is thrown, list the outcomes of an event of getting

(i) (a) a prime number (b) not a prime number

(ii) (a) a number greater than 5 (b) a number not greater than 5

**Solution:**(i) (a) When a die is thrown, the sample space = {1, 2, 3, 4, 5, 6}

The prime numbers are 2, 3 and 5.

Required outcomes = {2, 3, 5}

(b) Outcomes for not a prime number are 1, 4 and 6.

Required outcomes = {1, 4, 6}

(ii) (a) When a die is thrown, the sample space = {1, 2, 3, 4, 5, 6}

Outcomes for a number greater than 5 = 6

Required outcome = {6}

(b) Outcomes for a number not greater than 5 are 1, 2, 3, 4, 5.

Required outcomes = {1, 2, 3, 4, 5}

**Ex ****4.2**** Class 8 Maths Question 3.**

### Find the

(a) Probability of the pointer stopping on D in (Question 1-(a))?

(b) Probability of getting an ace from a well-shuffled deck of 52 playing cards?

(c) Probability of getting a red apple, (see figure below)

Solution:

(a) Refer to figure in Question 1-(a)

Total number of sectors = 5

Number of sector where the pointer stops = 1, i.e., D

Probability of pointer stopping at D = 1/5

(b) Number of aces = 4 (one from each suit, i.e., heart, diamond, club and spade)

Total number of playing cards = 52

Probability of getting an ace(iii) Total number of apples = 7

Number of red apples = 4

Probability of getting red apples

**Ex ****4.2**** Class 8 Maths Question 4.**

### Numbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of:

(i) getting a number 6?

(ii) getting a number less than 6?

(iii) getting a number greater than 6?

(iv) getting a 1-digit number?

**Solution:**(i) Probability of getting a number 6 = 1/10

(ii) Probability of getting a number less than 6 = 5/10 = ½

[∵ Numbers less than 6 are 1, 2, 3, 4, 5]

(iii) Probability of getting a number greater than 6 = 4/10 = 2/5

[∵ Numbers greater than 6 are 7, 8, 9, 10]

(iv) Probability of getting a 1-digit number = 9/10

[∵ 1-digit numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9]

**Ex ****4.2**** Class 8 Maths Question 5.**

### If you have a spinning wheel with 3 green sectors, 1 blue sector and 1 red sector, what is the probability of getting a green sector? What is the probability of getting a non-blue sector?

**Solution:**Total number of sectors are = 3 green + 1 blue + 1 red = 5 sectors

Probability of getting a green sector

Probability of getting non-blue sector

**Ex ****4.2**** Class 8 Maths Question 6.**

### Find the probabilities of the events given in Question 2.

**Solution:**Refer to Question 2, we have

(i) (a) Probability of getting a prime number

(ii) (a) Probability of getting a number greater than 5 = 1/6

(b) Probability of a number not greater than 5 = 5/6

**Related Links:**

**NCERT Solutions for Maths Class 9**

**NCERT Solutions for Maths Class 10**

**NCERT Solutions for Maths Class 11**