GATE Exam > GATE Questions > There are two containers, with one containing...
Start Learning for Free
There are two containers, with one containing 4 Red and 3 Green balls and the other containing 3 Blue and 4 Green balls. One bal is drawn at random form each container.The probability that one of the ball is Red and the other is Blue will be
- a)1/7
- b)9/49
- c)12/49
- d)3/7
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
There are two containers, with one containing 4 Red and 3 Green balls ...
Problem Analysis
To solve this problem, we need to find the probability of drawing one Red ball and one Blue ball from two different containers. Let's analyze the given information:
- Container 1: 4 Red balls and 3 Green balls
- Container 2: 3 Blue balls and 4 Green balls
Solution
Step 1: Find the probability of drawing a Red ball from Container 1
The probability of drawing a Red ball from Container 1 can be calculated as the ratio of the number of Red balls to the total number of balls in Container 1.
Probability of drawing a Red ball from Container 1 = 4/7
Step 2: Find the probability of drawing a Blue ball from Container 2
Similarly, the probability of drawing a Blue ball from Container 2 can be calculated as the ratio of the number of Blue balls to the total number of balls in Container 2.
Probability of drawing a Blue ball from Container 2 = 3/7
Step 3: Find the probability of drawing one Red and one Blue ball
Now, we need to find the probability of drawing one Red ball from Container 1 and one Blue ball from Container 2. Since the two events are independent, we can multiply the probabilities of each event.
Probability of drawing one Red and one Blue ball = Probability of drawing a Red ball from Container 1 × Probability of drawing a Blue ball from Container 2
Probability of drawing one Red and one Blue ball = (4/7) × (3/7) = 12/49
Therefore, the probability that one of the balls is Red and the other is Blue is 12/49.
Conclusion
The correct answer is option 'C', 12/49.
Free Test
| FREE | Start Free Test |
Community Answer
There are two containers, with one containing 4 Red and 3 Green balls ...
P_red=4÷(4+3)=4/7,P_blue=3÷(3+4)=3/7,So,Resultant probability=(4/7)×(3/7)=12/49.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
There are two containers, with one containing 4 Red and 3 Green balls and the other containing 3 Blue and 4 Green balls. One bal is drawn at random form each container.The probability that one of the ball is Red and the other is Blue will be a)1/7b)9/49c)12/49d)3/7Correct answer is option 'C'. Can you explain this answer?
Question Description
There are two containers, with one containing 4 Red and 3 Green balls and the other containing 3 Blue and 4 Green balls. One bal is drawn at random form each container.The probability that one of the ball is Red and the other is Blue will be a)1/7b)9/49c)12/49d)3/7Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about There are two containers, with one containing 4 Red and 3 Green balls and the other containing 3 Blue and 4 Green balls. One bal is drawn at random form each container.The probability that one of the ball is Red and the other is Blue will be a)1/7b)9/49c)12/49d)3/7Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two containers, with one containing 4 Red and 3 Green balls and the other containing 3 Blue and 4 Green balls. One bal is drawn at random form each container.The probability that one of the ball is Red and the other is Blue will be a)1/7b)9/49c)12/49d)3/7Correct answer is option 'C'. Can you explain this answer?.
There are two containers, with one containing 4 Red and 3 Green balls and the other containing 3 Blue and 4 Green balls. One bal is drawn at random form each container.The probability that one of the ball is Red and the other is Blue will be a)1/7b)9/49c)12/49d)3/7Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about There are two containers, with one containing 4 Red and 3 Green balls and the other containing 3 Blue and 4 Green balls. One bal is drawn at random form each container.The probability that one of the ball is Red and the other is Blue will be a)1/7b)9/49c)12/49d)3/7Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two containers, with one containing 4 Red and 3 Green balls and the other containing 3 Blue and 4 Green balls. One bal is drawn at random form each container.The probability that one of the ball is Red and the other is Blue will be a)1/7b)9/49c)12/49d)3/7Correct answer is option 'C'. Can you explain this answer?.
Solutions for There are two containers, with one containing 4 Red and 3 Green balls and the other containing 3 Blue and 4 Green balls. One bal is drawn at random form each container.The probability that one of the ball is Red and the other is Blue will be a)1/7b)9/49c)12/49d)3/7Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of There are two containers, with one containing 4 Red and 3 Green balls and the other containing 3 Blue and 4 Green balls. One bal is drawn at random form each container.The probability that one of the ball is Red and the other is Blue will be a)1/7b)9/49c)12/49d)3/7Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
There are two containers, with one containing 4 Red and 3 Green balls and the other containing 3 Blue and 4 Green balls. One bal is drawn at random form each container.The probability that one of the ball is Red and the other is Blue will be a)1/7b)9/49c)12/49d)3/7Correct answer is option 'C'. Can you explain this answer?, a detailed solution for There are two containers, with one containing 4 Red and 3 Green balls and the other containing 3 Blue and 4 Green balls. One bal is drawn at random form each container.The probability that one of the ball is Red and the other is Blue will be a)1/7b)9/49c)12/49d)3/7Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of There are two containers, with one containing 4 Red and 3 Green balls and the other containing 3 Blue and 4 Green balls. One bal is drawn at random form each container.The probability that one of the ball is Red and the other is Blue will be a)1/7b)9/49c)12/49d)3/7Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice There are two containers, with one containing 4 Red and 3 Green balls and the other containing 3 Blue and 4 Green balls. One bal is drawn at random form each container.The probability that one of the ball is Red and the other is Blue will be a)1/7b)9/49c)12/49d)3/7Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE 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