# NCERT Class 8 Mathematics Solutions: Chapter 5 –Data Handling Exercise 5.3 Part 1

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

(a) Spinning a wheel

(b) Tossing two coins together

Answer:

(a) There are four letters A, B, C and D in a spinning wheel. So there are 4 outcomes.

(b) When two coins are tossed together. There are four possible outcomes HH, HT, TH, TT.

(Here HT means head on first coin and tail on second coin and so on.)

Question: 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

Answer:

If a die thrown possible outcome number 1, 2, 3, 4, 5 and 6.

(i)

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

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

(ii)

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

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

Question: 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)

Answer: (a) In a spinning wheel, there are five pointers A, A, B, C, D. so there are five outcomes. Pointer stops at D which is one outcome.

So the probability of the pointer stopping on

(b) There are 4 aces in a deck of 52 playing cards. So, there are four events of getting an ace.

So, probability of getting an ace

(c) Total number of apples = 7

Number of red apples = 4

Probability of getting red apple