Quant Exam > Quant Questions > A bag contains 6 red balls and 8 green balls....
Start Learning for Free
A bag contains 6 red balls and 8 green balls. 2 balls are drawn at random one by one with replacement. Find the probability that both the balls are green
- a)16/49
- b)25/49
- c)12/49
- d)21/49
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A bag contains 6 red balls and 8 green balls. 2 balls are drawn at ran...
(8c1)/(14c1) * (8c1)*(14c1) = 16/49
Most Upvoted Answer
A bag contains 6 red balls and 8 green balls. 2 balls are drawn at ran...
Solution:
Given:
Number of red balls = 6
Number of green balls = 8
Two balls are drawn at random one by one with replacement.
To find: Probability that both the balls are green.
Let's solve this by applying the formula of probability.
Formula: Probability of an event happening = Number of ways an event can happen/Total number of outcomes
Total number of outcomes = 14 × 14 = 196 (as we are drawing two balls with replacement)
Number of ways of drawing a green ball on first draw = 8/14 = 4/7
Number of ways of drawing a green ball on second draw = 8/14 = 4/7
As the draws are independent, we can multiply the probabilities of both the events.
Therefore, the probability of drawing two green balls = Number of ways of drawing two green balls/Total number of outcomes
Number of ways of drawing two green balls = 4/7 × 4/7 = 16/49
Therefore, the probability that both the balls are green is 16/49.
Hence, option (a) is the correct answer.
Given:
Number of red balls = 6
Number of green balls = 8
Two balls are drawn at random one by one with replacement.
To find: Probability that both the balls are green.
Let's solve this by applying the formula of probability.
Formula: Probability of an event happening = Number of ways an event can happen/Total number of outcomes
Total number of outcomes = 14 × 14 = 196 (as we are drawing two balls with replacement)
Number of ways of drawing a green ball on first draw = 8/14 = 4/7
Number of ways of drawing a green ball on second draw = 8/14 = 4/7
As the draws are independent, we can multiply the probabilities of both the events.
Therefore, the probability of drawing two green balls = Number of ways of drawing two green balls/Total number of outcomes
Number of ways of drawing two green balls = 4/7 × 4/7 = 16/49
Therefore, the probability that both the balls are green is 16/49.
Hence, option (a) is the correct answer.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A bag contains 6 red balls and 8 green balls. 2 balls are drawn at random one by one with replacement. Find the probability that both the balls are greena)16/49b)25/49c)12/49d)21/49e)None of theseCorrect answer is option 'A'. Can you explain this answer?
Question Description
A bag contains 6 red balls and 8 green balls. 2 balls are drawn at random one by one with replacement. Find the probability that both the balls are greena)16/49b)25/49c)12/49d)21/49e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A bag contains 6 red balls and 8 green balls. 2 balls are drawn at random one by one with replacement. Find the probability that both the balls are greena)16/49b)25/49c)12/49d)21/49e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains 6 red balls and 8 green balls. 2 balls are drawn at random one by one with replacement. Find the probability that both the balls are greena)16/49b)25/49c)12/49d)21/49e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
A bag contains 6 red balls and 8 green balls. 2 balls are drawn at random one by one with replacement. Find the probability that both the balls are greena)16/49b)25/49c)12/49d)21/49e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A bag contains 6 red balls and 8 green balls. 2 balls are drawn at random one by one with replacement. Find the probability that both the balls are greena)16/49b)25/49c)12/49d)21/49e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains 6 red balls and 8 green balls. 2 balls are drawn at random one by one with replacement. Find the probability that both the balls are greena)16/49b)25/49c)12/49d)21/49e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A bag contains 6 red balls and 8 green balls. 2 balls are drawn at random one by one with replacement. Find the probability that both the balls are greena)16/49b)25/49c)12/49d)21/49e)None of theseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of A bag contains 6 red balls and 8 green balls. 2 balls are drawn at random one by one with replacement. Find the probability that both the balls are greena)16/49b)25/49c)12/49d)21/49e)None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A bag contains 6 red balls and 8 green balls. 2 balls are drawn at random one by one with replacement. Find the probability that both the balls are greena)16/49b)25/49c)12/49d)21/49e)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A bag contains 6 red balls and 8 green balls. 2 balls are drawn at random one by one with replacement. Find the probability that both the balls are greena)16/49b)25/49c)12/49d)21/49e)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A bag contains 6 red balls and 8 green balls. 2 balls are drawn at random one by one with replacement. Find the probability that both the balls are greena)16/49b)25/49c)12/49d)21/49e)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A bag contains 6 red balls and 8 green balls. 2 balls are drawn at random one by one with replacement. Find the probability that both the balls are greena)16/49b)25/49c)12/49d)21/49e)None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup