**NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.3 – Data Handling, has been designed by the NCERT to test the knowledge of the student on the following topics :-**

- Chance and Probability – Getting a result
- Chance and Probability – Equally likely outcomes
- Chance and Probability – Linking chances to probability
- Chance and Probability – Outcomes as events
- Chance and Probability – Chance and probability related to real life

### NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.3

**NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.3**

**Q.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 will be four outcomes

**(b)** There are four possible outcomes HH, HT, TH and TT when two coins are tossed together.

**Q.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:**

We know possible outcomes when a die is thrown are 1, 2, 3, 4, 5 and 6

**(i) (a)** Outcomes of an event of getting a prime number are 2, 3 and 5

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

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

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

**Q.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 5 outcomes A, A, B, C and D.

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

**(b)** In a deck of 52 playing cards, there will be 4 aces

So, there are 4 events of getting an ace

Probability of getting an ace = 4/52 = 1/13

**(c)** Given,

Total no. of apples = 7

No. of red apples = 4

So, Probability of getting a red apple = (No. of red apples/Total no. of apples) = 4/7

**Q.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)** Outcome of getting a number 6 from ten separate slips is one, as only one number is written on one slip

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

**(ii)** The numbers less than 6 are (1, 2, 3, 4, 5) five in number.

So, there are 5 outcomes

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

**(iii)** As the numbers greater than 6 are (7, 8, 9, 10)

So, there are 4 outcomes

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

**(iv)** 1-digit numbers are (1, 2, 3, 4, 5, 6, 7, 8, 9).

So, there are 9 outcomes.

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

**Q.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**:

Given:

Total number of sectors = 5

Green sector = 3

Blue sector = 1

Red sector = 1

Therefore, probability of getting a green sector = (No. of green sectors/Total no. of sectors) = 3/5

Since there is 1 blue sector, non-blue sectors = 5 – 1 = 4

Therefore, probability of getting a non-blue sector = (No. of non-blue sectors/Total no. of sectors) = 4/5

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

**Solution:**

When we throw a die there will be 6 outcomes (1, 2, 3, 4, 5, 6)

**(i) (a)** Outcomes of an event of getting a prime number are 2, 3 and 5

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

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

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

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

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

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

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

**The next Exercise for** **NCERT Solutions for Class 8 Maths Chapter 6 Exercise 6.1 – Square and Square roots can be accessed by clicking here.**

**Download NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.3**