A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag. Find the probability that it bears a number which is a perfect square.
Given:
A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag.
To do:
We have to find the probability that it bears a number which is a perfect square.
Solution:
A bag contains cards numbered \( 2,3,4, .., 89,90 \).
This implies,
The total number of possible outcomes $n=89$.
Perfect squares from 2 to 90 are $4, 9, 16, 25, 36, 49, 64, 81$.
Total number of favourable outcomes $=8$.
We know that,
Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$
Therefore,
Probability that the card bears a number which is a perfect square $=\frac{8}{89}$
The probability that it bears a number which is a perfect square is $\frac{8}{89}$.
Related Articles
- A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag. Find the probability that it bears a two digit number.
- Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag. Find the probability that the number on the drawn card is not a perfect square number.
- A box contains 90 discs which are numbered from 1 to 90. If one discs is drawn at random from the box, find the probability that it bears a perfect square number.
- A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a perfect square number.
- 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 an odd number.
- Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag. Find the probability that the number on the drawn card is a prime number great than 7.
- Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag. Find the probability that the number on the drawn card is not divisible by 3.
- A bag contains cards numbers from 1 to 49. A card is drawn from the bag at random after mixing the cards thoroughly. Find the probability that the number on the drawn card is:$( 1)$ An odd number $( 2)$ A multiple of 5 $( 3)$ A perfect Square $( 4)$ An even prime number.
- A box contains 90 discs which are numbered from 1 to 90. If one discs is drawn at random from the box, find the probability that it bears a two digit number
- A box contains 90 discs which are numbered from 1 to 90. If one discs is drawn at random from the box, find the probability that it bears a number divisible by 5.
- A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a number divisible by 5.
- A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears (i) a two digit number.(ii) a perfect square number.(iii) a number divisible by 5.
- A box contains cards numbered \( 3,5,7,9, .., 35,37 \). A card is drawn at random from the box. Find the probability that the number on the drawn card is a prime number.
- A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is a prime number.
- A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is divisible by 2 or 3.
Kickstart Your Career
Get certified by completing the course
Get Started
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
To Continue Learning Please Login