UPSC Exam > UPSC Questions > Four digits number 1,2,4 and 6 are selected a...
Start Learning for Free
Four digits number 1,2,4 and 6 are selected at random to form a four digit number. What is the probability that the number so formed, would be divisible by 4 ?
Most Upvoted Answer
Four digits number 1,2,4 and 6 are selected at random to form a four d...
Probability of forming a four-digit number divisible by 4
The total number of ways to choose a four-digit number using the digits 1, 2, 4, and 6 is 4! = 24. Out of these 24 numbers, we need to find the numbers that are divisible by 4.
Numbers divisible by 4
A number is divisible by 4 if the last two digits form a number that is divisible by 4. Since we have the digits 1, 2, 4, and 6, the possible pairs of numbers that can form a two-digit number divisible by 4 are 12, 24, 16, 64, and 64.
So, the total number of ways to form a four-digit number divisible by 4 is 4 * 3 = 12 (since we have 4 choices for the first digit and 3 choices for the second digit).
Calculating probability
The probability of forming a four-digit number divisible by 4 is given by the number of favorable outcomes divided by the total number of outcomes.
Probability = Number of favorable outcomes / Total number of outcomes
Probability = 12 / 24
Probability = 1/2
Therefore, the probability of forming a four-digit number divisible by 4 using the digits 1, 2, 4, and 6 is 1/2 or 0.5.
The total number of ways to choose a four-digit number using the digits 1, 2, 4, and 6 is 4! = 24. Out of these 24 numbers, we need to find the numbers that are divisible by 4.
Numbers divisible by 4
A number is divisible by 4 if the last two digits form a number that is divisible by 4. Since we have the digits 1, 2, 4, and 6, the possible pairs of numbers that can form a two-digit number divisible by 4 are 12, 24, 16, 64, and 64.
So, the total number of ways to form a four-digit number divisible by 4 is 4 * 3 = 12 (since we have 4 choices for the first digit and 3 choices for the second digit).
Calculating probability
The probability of forming a four-digit number divisible by 4 is given by the number of favorable outcomes divided by the total number of outcomes.
Probability = Number of favorable outcomes / Total number of outcomes
Probability = 12 / 24
Probability = 1/2
Therefore, the probability of forming a four-digit number divisible by 4 using the digits 1, 2, 4, and 6 is 1/2 or 0.5.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Four digits number 1,2,4 and 6 are selected at random to form a four digit number. What is the probability that the number so formed, would be divisible by 4 ?
Question Description
Four digits number 1,2,4 and 6 are selected at random to form a four digit number. What is the probability that the number so formed, would be divisible by 4 ? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Four digits number 1,2,4 and 6 are selected at random to form a four digit number. What is the probability that the number so formed, would be divisible by 4 ? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four digits number 1,2,4 and 6 are selected at random to form a four digit number. What is the probability that the number so formed, would be divisible by 4 ?.
Four digits number 1,2,4 and 6 are selected at random to form a four digit number. What is the probability that the number so formed, would be divisible by 4 ? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Four digits number 1,2,4 and 6 are selected at random to form a four digit number. What is the probability that the number so formed, would be divisible by 4 ? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four digits number 1,2,4 and 6 are selected at random to form a four digit number. What is the probability that the number so formed, would be divisible by 4 ?.
Solutions for Four digits number 1,2,4 and 6 are selected at random to form a four digit number. What is the probability that the number so formed, would be divisible by 4 ? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Four digits number 1,2,4 and 6 are selected at random to form a four digit number. What is the probability that the number so formed, would be divisible by 4 ? defined & explained in the simplest way possible. Besides giving the explanation of
Four digits number 1,2,4 and 6 are selected at random to form a four digit number. What is the probability that the number so formed, would be divisible by 4 ?, a detailed solution for Four digits number 1,2,4 and 6 are selected at random to form a four digit number. What is the probability that the number so formed, would be divisible by 4 ? has been provided alongside types of Four digits number 1,2,4 and 6 are selected at random to form a four digit number. What is the probability that the number so formed, would be divisible by 4 ? theory, EduRev gives you an
ample number of questions to practice Four digits number 1,2,4 and 6 are selected at random to form a four digit number. What is the probability that the number so formed, would be divisible by 4 ? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC 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