# A Bag Contains Cards Numbered from 1 to 49. a Card is Drawn from the Bag at Random, After Mixing the Card Thoroughly. Find the Probability that the Number on the Drawn Card is a Perfect Square - Mathematics

Sum

A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly. Find the probability that the number on the drawn card is  a perfect square

#### Solution

The cards are numbered from 1 to 49.
∴ Total number of outcomes = 49

The perfect square numbers from 1 to 49 are 1, 4, 9, 16, 25, 36 and 49.
So, the favourable number of outcomes are 7.
∴ P(number on the drawn card is a perfect square) =$\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{7}{49} = \frac{1}{7}$

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 16 Probability
Exercise 16.1 | Q 48.3 | Page 24