8th Maths 5.3

Chapter 5

Data Handling

NCERT Class 8th Solution of Exercise 5.1

NCERT Class 8th Solution of Exercise 5.2

EXERCISE 5.3

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

(a) Spinning a wheel

(b) Tossing two coins together

`text{Solution:}`

a) `text{Outcomes in this experiment is A, B, C, D.}`

b) `text{Outcomes in this experiment is }``text{HH, HT, TH, TT. }``[text{H = Head, T = Tail}]`

2. When a die is thrown, list the outcomes of an event of getting
i) a) prime number 

b) not a prime number.
ii) a) a number greater than 5 

b) a number not greater than 5.

`text{Solution:}`

`text{The outcomes of the die are 1, 2, 3, 4, 5, 6,}`

a) i) `text{ a prime number 2, 3, 5.}`

ii)  `text{ not a prime number 1, 4, 6}`

b) i) `text{ a number greater than 5 are 6.}`

ii) `text{ a number not greater than 5 are 1, 2, 3, 4.}` 

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)

`text{Solution:}`

i) `text{Reffer to figure Question 1.}`

a) `text{Total number of sector =5}`

`text{probability of the pointer stopping on D}``= (text{Number of sector where stops})/(text{Total number of sectors}`

`= 1/5`

b) `text{Probability of getting an ace}``=(text{Number of ace})/(text{Total number of playing cards})`

`= 4/52`

`= 1/13`

c) `text{Probability of getting a red apple}``=(text{Number of  red apple})/(text{Total number of 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. 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?

`text{Solution:}`

`text{Total number of outcomes are}``1, 2, 3, 4, 5, 6, 7, 8, 9, 10`

i) `text{Probability of getting a number 6}``= 1/10`

ii) `text{Probability of getting less than 6}``= 5/10 = 1/2``text{ [∴ Numbers less than 6 are 1, 2, 3, 4, 5]}`

iii) `text{Probability of getting greater than 6}``= 4/10 = 2/5``text{ [∴ Numbers greater than 6 are 7, 8, 9, 10]}`

iv) `text{Probability a 1-digit number}``= 9/10``text{  [∴ 1-digit Numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9]` 

5. If you have a spinning wheel with 3 green sectors, 1 blue sector and I red sector, what is the probability of getting a green sector? What is the probability of getting a non-blue sector?

`text{Solution:}`

`text{Total number of sector are}``text{3 Green + 1 Blue + 1 Red = 5 sectors}`

`text{Probability of getting a green sector}``=(text{Number of Green sector})/(text{Total number of sectors}``= 3/5`

`text{Number of non-Blue sectors are}``text{ 3 Green + 1 Red = 4 sectors}`

`text{Probability of getting a non-blue sector}``=(text{Number of non-Blue sector})/(text{Total number of sector}``= 4/5`

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

`text{Solution:}`

i) a) `text{Probability of getting prime numbers}``=(text{Number of prime numbers})/(text{Total number of outcomes})``=3/6=1/2`

b) `text{Probability of getting not a prime numbers}``=(text{Number of not prime numbers})/(text{Total numbre of outcomes})``=3/6=1/2`

ii) a) `text{Probability of getting a number greater than 5}``=(text{Number greater than 5})/(text{Total number of outcomes})``=1/6`

b) `text{Probability of getting a number not greater}``text{ than 5}``=(text{Number not greater than 5})/(text{Total number of outcomes})=5/6`