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
(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