# Ex.5.3 Q3 Data Handling Solutions - NCERT Maths Class 8

## Question

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 alongside)

## Text Solution

**What is known?**

(i) Spinning wheel image

(ii) Deck of \(52\) playing cards

(iii) Image depicting Red and Green apples

**What is unknown?**

(i) Probability of the pointer stopping on \(D.\)

(ii) Probability of getting an ace from a well shuffled deck of \(52\) playing cards.

(iii) Probability of getting a red apple

**Reasoning:**

Probability

\[\begin{align}= \! \frac{{{\text{Number of favourable outcomes}}}}{{{\text{Total number of outcomes}}}}\end{align}\]

**Steps:**

(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 \(1\) outcome. So, the probability of the pointer stopping on \(\begin{align}D = \frac{1}{5}\end{align}\)

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

So, probability of getting an ace \(\begin{align} = \frac{4}{{52}} = \frac{1}{{13}}\end{align}\)

(c) Total number of apples \(= 7\)

Number of red apples \(= 4\)

So, probability of getting red apple \(\begin{align} = \frac{4}{7}\end{align}\)