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

**NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Exercise 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 = (frac { 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 = (frac { 1 }{ 10 })

(ii) Probability of getting a number less than 6 = (frac { 5 }{ 10 }) = (frac { 1 }{ 2 }) [∵ Numbers less than 6 are 1, 2, 3, 4, 5]

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

(iv) Probability of getting a 1-digit number = (frac { 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 = (frac { 1 }{ 6 })

(b) Probability of a number not greater than 5 = (frac { 5}{ 6 }) or, 1 – (frac { 1 }{ 6 }) = (frac { 5 }{ 6 })

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