### NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Ex 5.3

**Ex 5.3 Class 8 Maths Question 1.**

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

**(i) Spinning a wheel**

**(ii) Tossing two coins together**

**Solution:**

(i) On spinning the wheel, we can get the following outcomes B, C, D, E and A.

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

HH, HT, TH, TT (Where H denotes Head and T denotes Tail)

**Ex 5.3 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) The prime number are 2, 3 and 5

Required outcomes = 2, 3 and 5

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

Required outcomes = 1, 4, 6.

(ii) (a) 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 5.3 Class 8 Maths Question 3.**

**Find the**

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

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

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

**Solution:**

(i) Refer to fig. 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

(ii) 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 5.3 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 choosen 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 = 1/2 [∵ Numbers less than 6 are 1, 2, 3, 4, 5]

(iii) Probability of getting a number greater than 6 = 4/10 = 2/5 [∵ Number greater than 6 are 7, 8, 9, 10]

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

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

**Ex 5.3 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

Number of non-blue sectors are = 3 green + 1 red = 4 sectors

Probability of getting non-blue sector

**Ex 5.3 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

(b) Probability of getting a non-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 or, 1 – 1/6 = 5 /6