NCERT Solutions For Class 8 Maths Chapter – 5 Data Handling Exercise – 5.3

Q1. List the outcomes you can see in these experiments.

Spinning a wheel
Tossing two coins together

Solution:-

There are four letters A , B , C and D in a spinning wheel. So there are 4 outcomes.
When two coins are tossed together. There are four possible outcomes HH , HT , TH , TT
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Q2. When a die is thrown , list the outcomes of an event of getting

(a) a prime number (b) not a prime number.
(a) a number greater than 5 (b) a number not grater than 5.

Solution:-

(a) Outcomes of event of getting a prime number are 2 , 3 and 5.

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

(a) Outcomes of event of getting a number grater than 5 is 6.

( b ) Outcomes of event of not getting a number grater than 5 are 1 , 2 , 3 , 4 and 5.

Q3. Find the.

Probability of the pointer stopping on D in ( Question 1 – (a))
Probability of getting an ace from a well shuffled deck of 52 playing cards.
Probability of getting a red apple . ( See figure below)

Solution:-

In a spinning wheel , there are five pointers A , A B , C , D so there five outcomes . Pointers stops at D which is one outcome. So the probability of the pointer stopping on D = 1/5
There are 4 aces in a deck of 52 playing cards. So there are four events of getting an ace.

So, the probability of getting an ace = 4/52 = 1/13

( c ) Total number of apples = 7

Number of red apples = 4

Probability of getting red apple = 4/7

Q4. 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.

getting a number 6 ?
getting a number less than 6 ?
Getting a number than 6 ?
Getting a 1 – digit number ?

Solution:-

Outcomes of getting a number 6 from ten separate slip is one . probability of getting a number 6 = 1/10
Number less than 6 are 1 , 2 , 3, 4 and 5 which are five. So there are 5 outcomes.
Number greater than 6 out of ten that are 7 , 8 , 9 , 10 So there are 4 possible outcomes.

Probability of getting a number greater than 6 = 4/10 = 2/5

One – digit numbers are 1 , 2 , 3 , 4 , 5, 6 , 7 , 8 , 9 , out of ten

Probability of getting a 1 – digit number = 9/10

Q5. If you have a spinning wheel with 3 green sector , 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:-

A total of five sector are present

Out of five sectors, three sectors are green.

Probability of getting a green sector = 3/5

Out of the five sectors, one sector is blue. Hence , Non – blue sectors = 5 – 1 = 4

Probability of getting a non – blue sector = 4/5

Q6. Find the probabilities of the events given in Question 2.

Solution:-

When a die is thrown , there are total six outcomes 1 , 2, 3 , 4 , 5 and 6.

(i)