# 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