Quant Exam > Quant Questions > A and B are two candidates seeking admission ...
Start Learning for Free
A and B are two candidates seeking admission to the IIMs. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9.
- a)No
- b)Yes
- c)Either (a) or (b)
- d)Can’t say
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A and B are two candidates seeking admission to the IIMs. The probabil...
P (Both are selected) = P(A) x P(B) Since P(A) = 0.5, we get 0.3 = 0.5 x 0.6.
The maximum value of P(B) = 0.6.
Thus P{B) = 0.9 is not possible.
The maximum value of P(B) = 0.6.
Thus P{B) = 0.9 is not possible.
Most Upvoted Answer
A and B are two candidates seeking admission to the IIMs. The probabil...
Given information:
- Probability of candidate A getting selected = 0.5
- Probability of both candidates A and B getting selected = at most 0.3
Assumptions:
- The selection of candidates A and B are independent events.
Explanation:
To solve this problem, let's consider the following scenarios:
Scenario 1: If the probability of both A and B getting selected is exactly 0.3, then the probability of A getting selected alone would be (0.5 - 0.3) = 0.2. In this case, the probability of B getting selected would be 0.3.
Scenario 2: If the probability of both A and B getting selected is less than 0.3, let's say x, then the probability of A getting selected alone would be (0.5 - x). In this case, the probability of B getting selected would be x.
Now, let's analyze these scenarios:
1. If the probability of both A and B getting selected is exactly 0.3, then the probability of B getting selected would be 0.3. But the question states that the probability of B getting selected is 0.9, which is not possible in this scenario. Therefore, this scenario is not valid.
2. If the probability of both A and B getting selected is less than 0.3, then the probability of B getting selected would be that value. But the question states that the probability of A getting selected is 0.5. In this case, the probability of B getting selected cannot be 0.9 as it exceeds the probability of A getting selected. Therefore, this scenario is also not valid.
Conclusion:
Based on the above analysis, it can be concluded that it is not possible for the probability of B getting selected to be 0.9. Therefore, the correct answer is option 'A' - No.
- Probability of candidate A getting selected = 0.5
- Probability of both candidates A and B getting selected = at most 0.3
Assumptions:
- The selection of candidates A and B are independent events.
Explanation:
To solve this problem, let's consider the following scenarios:
Scenario 1: If the probability of both A and B getting selected is exactly 0.3, then the probability of A getting selected alone would be (0.5 - 0.3) = 0.2. In this case, the probability of B getting selected would be 0.3.
Scenario 2: If the probability of both A and B getting selected is less than 0.3, let's say x, then the probability of A getting selected alone would be (0.5 - x). In this case, the probability of B getting selected would be x.
Now, let's analyze these scenarios:
1. If the probability of both A and B getting selected is exactly 0.3, then the probability of B getting selected would be 0.3. But the question states that the probability of B getting selected is 0.9, which is not possible in this scenario. Therefore, this scenario is not valid.
2. If the probability of both A and B getting selected is less than 0.3, then the probability of B getting selected would be that value. But the question states that the probability of A getting selected is 0.5. In this case, the probability of B getting selected cannot be 0.9 as it exceeds the probability of A getting selected. Therefore, this scenario is also not valid.
Conclusion:
Based on the above analysis, it can be concluded that it is not possible for the probability of B getting selected to be 0.9. Therefore, the correct answer is option 'A' - No.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A and B are two candidates seeking admission to the IIMs. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9.a)Nob)Yesc)Either (a) or (b)d)Can’t sayCorrect answer is option 'A'. Can you explain this answer?
Question Description
A and B are two candidates seeking admission to the IIMs. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9.a)Nob)Yesc)Either (a) or (b)d)Can’t sayCorrect 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 and B are two candidates seeking admission to the IIMs. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9.a)Nob)Yesc)Either (a) or (b)d)Can’t sayCorrect 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 and B are two candidates seeking admission to the IIMs. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9.a)Nob)Yesc)Either (a) or (b)d)Can’t sayCorrect answer is option 'A'. Can you explain this answer?.
A and B are two candidates seeking admission to the IIMs. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9.a)Nob)Yesc)Either (a) or (b)d)Can’t sayCorrect 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 and B are two candidates seeking admission to the IIMs. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9.a)Nob)Yesc)Either (a) or (b)d)Can’t sayCorrect 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 and B are two candidates seeking admission to the IIMs. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9.a)Nob)Yesc)Either (a) or (b)d)Can’t sayCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A and B are two candidates seeking admission to the IIMs. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9.a)Nob)Yesc)Either (a) or (b)d)Can’t sayCorrect 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 and B are two candidates seeking admission to the IIMs. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9.a)Nob)Yesc)Either (a) or (b)d)Can’t sayCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A and B are two candidates seeking admission to the IIMs. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9.a)Nob)Yesc)Either (a) or (b)d)Can’t sayCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A and B are two candidates seeking admission to the IIMs. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9.a)Nob)Yesc)Either (a) or (b)d)Can’t sayCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A and B are two candidates seeking admission to the IIMs. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9.a)Nob)Yesc)Either (a) or (b)d)Can’t sayCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A and B are two candidates seeking admission to the IIMs. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9.a)Nob)Yesc)Either (a) or (b)d)Can’t sayCorrect 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