Mathematics – Class 8 – Chapter 5 – Data Handling- Exercise 5.3 – NCERT Exercise Solution

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

(a) Spinning a wheel (b) Tossing two coins together

Mathematics - Class 8 - Chapter 5 - Data Handling- Exercise 5.3 - NCERT Exercise Solution

Solution:

(a)Total number of letters in given spanning wheel = 4 (A, B, C and D)

Hence, there are 4 outcomes.

(b) When two coins are tossed together.

 There are four possible outcomes i.e. HH, HT, TH, TT.

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)According to question outcomes of event of getting a prime number are 2, 3 and 5.

(b) According to question outcomes of event of not getting a prime number are 1, 4 and 6.

(ii) (a) According to question outcomes of event of getting a number greater than 5 is 6.

(b) According to question outcomes of event of not getting a number greater than 5 are 1, 2, 3, 4 and 5.

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)

Mathematics - Class 8 - Chapter 5 - Data Handling- Exercise 5.3 - NCERT Exercise Solution

Solution:

(a)In the given spinning wheel, there are total five pointers A, A, B, C, D. So, there are five outcomes.

Hence, the probability of the pointer stopping on D = 1/5

(b) There are 4 aces in a deck of 52 playing cards.

So, there are four events of getting an ace.

Hence, 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

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) From ten separate slips the outcome of getting a number 6 is one.

Hence, probability of getting a number 6 = 1/10

(ii) Total numbers less than 6 are 5 which is 1, 2, 3, 4 and 5.

So, there are 5 outcomes.

Hence, probability of getting a number less 6 =5/10 = ½

(iii)Total number greater than 6 out of ten are 4 which is 7, 8, 9, 10.

So, there are 4 possible outcomes.

Hence, probability of getting a number greater than 6 = 4/10 = 2/5

(iv) One-digit numbers out of 10 are 1, 2, 3, 4, 5, 6, 7, 8, 9.

Hence, probability of getting a 1-digit number = 9/10

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:

There are total of five sectors.

Out of the five sectors, three sectors are green.

Hence, probability of getting a green sector = 3/5

Out of the five sectors, one sector is blue.

So, Non-blue sectors = 5 – 1 = 4 sectors

Hence, probability of getting a non-blue sector= 4/5

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

Solution:

When a die is thrown,

Total number of outcomes = 6 (i.e., 1, 2, 3, 4, 5 and 6).

(i)

(a)2, 3, 5 are the prime numbers.

So, there are 3 outcomes out of 6.

Hence, probability of getting a prime number =3/6 = ½

(b) 1, 4, 6 are not the prime numbers.

So, there are 3 outcomes out of 6.

Hence, probability of getting a prime number =3/6 = ½

(ii)

(c) Only 6 is greater than 5.

So, there is one outcome out of 6.

Hence, probability of getting a number greater than 5= 1/6

(d) Numbers which is not greater than 5 are 1, 2, 3, 4 and 5.

So, there are 5 outcomes out of 6.

Hence, probability of not getting a number greater than 5= 5/6

👍👍👍

About the Author: MakeToss

Leave a Reply

Your email address will not be published. Required fields are marked *

Ads Blocker Image Powered by Code Help Pro

Ads Blocker Detected!!!

We have detected that you are using extensions to block ads. Please support us by disabling these ads blocker.

error: