Latest Updated : October 2023

If you are in search of **NCERT solutions for Class 8 Maths Chapter** **4 Data Handling**, then you are at the right place. When it comes to **Mathematics**, it is a subject that holds value for students across various academic streams, be it science, biology, or commerce and having a very good understanding of basic math concepts will help you in achieving your goal and make it much more easier.

Here we provide detailed **NCERT solutions for Class 8 Maths** of all the chapters, **exercise wise** with **updated syllabus by NCERT**. These NCERT solutions for Class 8 Maths have been carefully crafted to provide detailed explanations, ensuring that students can grasp the concepts effectively. We also provide extra practice questions for the same, so feel free to bookmark **ncertforclass8.com** to boost your preparation.

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

**Class 8 Maths Chapter** 4 **Data Handling** **Exercise **4.2

**Exercise 4.2**

**1. List the outcomes you can see in these experiments.(a) Spinning a wheel **

**(b) Tossing two coins together**

Solution:

(a) There are four letters A, B, C and D in a spinning wheel. So there are 4 outcomes.

(b) When two coins are tossed together, there are four possible outcomes HH, HT, TH, TT.

**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) Outcomes of event of getting a prime number are 2, 3 and 5.

(b) Outcomes of event of not getting a prime number are 1, 4 and 6.

(ii) (a) Outcomes of event of getting a number greater than 5 is 6.

(b) Outcomes of event of not getting a number greater than 5 are 1, 2, 3, 4 and 5.

**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) In a spinning wheel, there are five pointers A, A, B, C, D. So there are five outcomes. Pointer stops at D which is one outcome.

So the probability of the pointer stopping on D = 1/5

(b) There are 4 aces in a deck of 52 playing cards. So, there are four events of getting an ace.

So, probability of getting an ace = 4/42 = 1/4

(c) Total number of apples = 7

Number of red apples = 4

Probability of getting red apple= 4/7

**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. Whatis 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) Outcome of getting a number 6 from ten separate slips is one.

Therefore, probability of getting a number 6 is = 1/10

(ii) Numbers less than 6 are 1, 2, 3, 4 and 5 which are five. So there are 5 outcomes.

Therefore, probability of getting a number less than 6 = 5/10 = 1/2

(iii) Number greater than 6 out of ten that are 7, 8, 9, 10. So there are 4 possible outcomes.

Therefore, probability of getting a number greater than 6 = 4/10= 2/5

(iv) One digit numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9 out of ten.

Therefore, probability of getting a 1-digit number = 9/10

**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:

There are five sectors. Three sectors are green out of five sectors.

Therefore, probability of getting a green sector = 3/5

There is one blue sector out of five sectors. Non-blue sectors = 5-1 = 4 sectors

Therefore, probability of getting a non-blue sector = 4/5

**6. Find the probabilities of the events given in Question 2.**

Solution:

When a die is thrown, there are total six outcomes, i.e., 1, 2, 3, 4, 5 and 6.

i) (a) 2, 3, 5 are prime numbers. So there are 3 outcomes out of 6.

Therefore, probability of getting a prime number = 3/6 = 1/2

(ii) (b) 1, 4, 6 are not the prime numbers. So there are 3 outcomes out of 6.

Therefore, probability of not getting a prime number = 3/6 = 1/2

(iii) (a) Only 6 is greater than 5. So there is one outcome out of 6.

Therefore, probability of getting a number greater than 5 = 1/6

(b) Numbers not greater than 5 are 1, 2, 3, 4 and 5. So there are 5 outcomes out of 6.

Therefore, probability of not getting a number greater than 5 = 5/6

**Using Class 8 NCERT solutions offers several key advantages for students:**

**Accurate Answers:**NCERT solutions for Class 8 Maths are prepared by expert educators and thoroughly reviewed to ensure quality and accurate answers.**Aligned with Curriculum:**NCERT Solutions for Class 8 Maths are specifically designed to go along with the CBSE curriculum, making them the ideal resource for students studying in CBSE affiliated schools.**Crisp an Clear Explanation**: The NCERT solutions for Class 8 Maths provide step by step explanations, making complex concepts easier to understand. This helps students to grasp the concepts easily and build a better foundation.**Time-Saver:**Instead of spending extra time searching for answers, students can quickly access these NCERT solutions for Class 8 Maths , saving time and allowing them to focus on other aspects of their studies.**Extra Questions:**NCERT Solutions for Class 8 Maths also has extra questions that offer additional opportunities for students to build better problem solving skills.**Free Forever:**We provide answers which will always be free to access and share.**Self-Study Support:**These are beneficial for students who prefer self study. They can independently work through the solutions and improve their understanding of the subject at their own pace.

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