# NCERT Class 8 Mathematics Solutions: Chapter 5 – Data Handling Exercise 5.3 Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**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.

**Answer**:

(i) Outcome of getting a number 6 from ten separate slips is one.

Therefore, probability of getting a number

(ii) Numbers less than 6 are 1,2, 3,4 and 5 which are five.

So there are 5 outcomes.

Therefore, probability of getting a number less than

(iii) Number greater than 6 out of ten that are 7,8, 9,10.

So there are 4 possible outcomes.

Therefore, probability of getting a number greater than

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

Therefore, probability of getting a 1-digit number

**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 none-blue sector?

**Answer**:

There are five sectors.

Three sectors are green out of five sectors.

Therefore, probability of getting a green sector

There is one blue sector out of five sectors.

Non-blue sectors sectors

Therefore, probability of getting a non-blue sector

**Question: 6** Find the probability of the events given in Question 2.

**Answer**:

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

(i)

(a) 2,3, 5 are prime numbers. So there are 3 outcomes out of 6.

Therefore, probability of getting a prime number

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

So there are 3 outcomes out of 6.

Therefore, probability of getting not a prime number

(ii)

(a) Only 6 is greater than 5. So there is one outcome out of 6.

Therefore, probability of getting a number greater than

(b) Numbers not greater than 5 are 1,2, 3,4 and 5. So there are 5 outcomes out of 6.

Therefore, probability of getting a number not greater than