NCERT Class 8 Mathematics Solutions: Chapter 5 –Data Handling Exercise 5.3 Part 2

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Image of a Numbers 1 to 10 are Written on Ten Separate Slips …

Numbers 1 to 10 Are Written on 10 Separate Slips

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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 sectorssectors

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