Class 10 Exam > Class 10 Questions > A box containing cards numbered 6 to 50 . A c...
Start Learning for Free
A box containing cards numbered 6 to 50 . A card is drawn at random from the box. What is the probability that the card has a number which is a perfect square like 4,9 .is?
Verified Answer
A box containing cards numbered 6 to 50 . A card is drawn at random fr...
Given numbers are 6, 7, 8, 9,…,50.
Number of these numbers = 50 - 5 = 45.
Perfect square numbers from these are 3^2, 4^2, 5^2, 6^2, 7^2.
Their number is 5.
∴ P(getting a perfect square number) = 5/45 = 1/9.
Number of these numbers = 50 - 5 = 45.
Perfect square numbers from these are 3^2, 4^2, 5^2, 6^2, 7^2.
Their number is 5.
∴ P(getting a perfect square number) = 5/45 = 1/9.
This question is part of UPSC exam. View all Class 10 courses
Most Upvoted Answer
A box containing cards numbered 6 to 50 . A card is drawn at random fr...
Probability of drawing a card with a perfect square number from the box:
To find the probability of drawing a card with a perfect square number from the box, we need to first determine the total number of cards in the box and the number of cards with perfect square numbers.
Step 1: Determine the total number of cards in the box:
Given that the box contains cards numbered from 6 to 50, we need to find the total number of cards in this range.
The range of numbers from 6 to 50 can be written as: 6, 7, 8, 9, ..., 50.
To find the total number of cards, we need to count the numbers in this range. We can subtract the starting number (6) from the ending number (50) and add 1 to include both the starting and ending numbers.
Total number of cards = (50 - 6) + 1 = 45 + 1 = 46
Step 2: Determine the number of cards with perfect square numbers:
Perfect square numbers are the numbers that can be expressed as the product of an integer multiplied by itself.
The perfect square numbers between 6 and 50 are 9, 16, 25, 36, and 49.
Number of cards with perfect square numbers = 5
Step 3: Calculate the probability:
The probability of drawing a card with a perfect square number can be calculated by dividing the number of cards with perfect square numbers by the total number of cards.
Probability = Number of cards with perfect square numbers / Total number of cards
Probability = 5 / 46
Simplifying this fraction, we get:
Probability = 1 / 9.2
Therefore, the probability of drawing a card with a perfect square number from the box is approximately 0.109 or 10.9%.
To find the probability of drawing a card with a perfect square number from the box, we need to first determine the total number of cards in the box and the number of cards with perfect square numbers.
Step 1: Determine the total number of cards in the box:
Given that the box contains cards numbered from 6 to 50, we need to find the total number of cards in this range.
The range of numbers from 6 to 50 can be written as: 6, 7, 8, 9, ..., 50.
To find the total number of cards, we need to count the numbers in this range. We can subtract the starting number (6) from the ending number (50) and add 1 to include both the starting and ending numbers.
Total number of cards = (50 - 6) + 1 = 45 + 1 = 46
Step 2: Determine the number of cards with perfect square numbers:
Perfect square numbers are the numbers that can be expressed as the product of an integer multiplied by itself.
The perfect square numbers between 6 and 50 are 9, 16, 25, 36, and 49.
Number of cards with perfect square numbers = 5
Step 3: Calculate the probability:
The probability of drawing a card with a perfect square number can be calculated by dividing the number of cards with perfect square numbers by the total number of cards.
Probability = Number of cards with perfect square numbers / Total number of cards
Probability = 5 / 46
Simplifying this fraction, we get:
Probability = 1 / 9.2
Therefore, the probability of drawing a card with a perfect square number from the box is approximately 0.109 or 10.9%.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
A box containing cards numbered 6 to 50 . A card is drawn at random from the box. What is the probability that the card has a number which is a perfect square like 4,9 .is?
Question Description
A box containing cards numbered 6 to 50 . A card is drawn at random from the box. What is the probability that the card has a number which is a perfect square like 4,9 .is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A box containing cards numbered 6 to 50 . A card is drawn at random from the box. What is the probability that the card has a number which is a perfect square like 4,9 .is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box containing cards numbered 6 to 50 . A card is drawn at random from the box. What is the probability that the card has a number which is a perfect square like 4,9 .is?.
A box containing cards numbered 6 to 50 . A card is drawn at random from the box. What is the probability that the card has a number which is a perfect square like 4,9 .is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A box containing cards numbered 6 to 50 . A card is drawn at random from the box. What is the probability that the card has a number which is a perfect square like 4,9 .is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box containing cards numbered 6 to 50 . A card is drawn at random from the box. What is the probability that the card has a number which is a perfect square like 4,9 .is?.
Solutions for A box containing cards numbered 6 to 50 . A card is drawn at random from the box. What is the probability that the card has a number which is a perfect square like 4,9 .is? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of A box containing cards numbered 6 to 50 . A card is drawn at random from the box. What is the probability that the card has a number which is a perfect square like 4,9 .is? defined & explained in the simplest way possible. Besides giving the explanation of
A box containing cards numbered 6 to 50 . A card is drawn at random from the box. What is the probability that the card has a number which is a perfect square like 4,9 .is?, a detailed solution for A box containing cards numbered 6 to 50 . A card is drawn at random from the box. What is the probability that the card has a number which is a perfect square like 4,9 .is? has been provided alongside types of A box containing cards numbered 6 to 50 . A card is drawn at random from the box. What is the probability that the card has a number which is a perfect square like 4,9 .is? theory, EduRev gives you an
ample number of questions to practice A box containing cards numbered 6 to 50 . A card is drawn at random from the box. What is the probability that the card has a number which is a perfect square like 4,9 .is? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup