CA Foundation Exam > CA Foundation Questions > Arun and Tarun appear for an interview for tw...
Start Learning for Free
Arun and Tarun appear for an interview for two vacancies. The probability of Arun's selection is ⅓ and that of Tarun's selection is ⅕. Find the probability that only one of them will be selected.?
Most Upvoted Answer
Arun and Tarun appear for an interview for two vacancies. The probabil...
Solution:
Introduction:
In this problem, we are given the probability of Arun's selection (p(Arun) = 1/3) and that of Tarun's selection (p(Tarun) = 1/5) for two vacancies. We need to find the probability that only one of them will be selected.
Explanation:
Let's consider the following cases:
- Only Arun is selected: The probability of this event is p(Arun) × (1 - p(Tarun)) = 1/3 × 4/5 = 4/15.
- Only Tarun is selected: The probability of this event is (1 - p(Arun)) × p(Tarun) = 2/3 × 1/5 = 2/15.
Therefore, the probability that only one of them will be selected is the sum of the probabilities of the above two cases, which is:
P(Only one of them is selected) = 4/15 + 2/15 = 6/15 = 2/5.
Hence, the probability that only one of them will be selected is 2/5.
Conclusion:
In this problem, we used the probabilities of Arun's selection and Tarun's selection to find the probability that only one of them will be selected. We considered the cases where only Arun is selected and only Tarun is selected and added their probabilities to get the final answer.
Introduction:
In this problem, we are given the probability of Arun's selection (p(Arun) = 1/3) and that of Tarun's selection (p(Tarun) = 1/5) for two vacancies. We need to find the probability that only one of them will be selected.
Explanation:
Let's consider the following cases:
- Only Arun is selected: The probability of this event is p(Arun) × (1 - p(Tarun)) = 1/3 × 4/5 = 4/15.
- Only Tarun is selected: The probability of this event is (1 - p(Arun)) × p(Tarun) = 2/3 × 1/5 = 2/15.
Therefore, the probability that only one of them will be selected is the sum of the probabilities of the above two cases, which is:
P(Only one of them is selected) = 4/15 + 2/15 = 6/15 = 2/5.
Hence, the probability that only one of them will be selected is 2/5.
Conclusion:
In this problem, we used the probabilities of Arun's selection and Tarun's selection to find the probability that only one of them will be selected. We considered the cases where only Arun is selected and only Tarun is selected and added their probabilities to get the final answer.
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
Arun and Tarun appear for an interview for two vacancies. The probability of Arun's selection is ⅓ and that of Tarun's selection is ⅕. Find the probability that only one of them will be selected.?
Question Description
Arun and Tarun appear for an interview for two vacancies. The probability of Arun's selection is ⅓ and that of Tarun's selection is ⅕. Find the probability that only one of them will be selected.? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Arun and Tarun appear for an interview for two vacancies. The probability of Arun's selection is ⅓ and that of Tarun's selection is ⅕. Find the probability that only one of them will be selected.? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arun and Tarun appear for an interview for two vacancies. The probability of Arun's selection is ⅓ and that of Tarun's selection is ⅕. Find the probability that only one of them will be selected.?.
Arun and Tarun appear for an interview for two vacancies. The probability of Arun's selection is ⅓ and that of Tarun's selection is ⅕. Find the probability that only one of them will be selected.? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Arun and Tarun appear for an interview for two vacancies. The probability of Arun's selection is ⅓ and that of Tarun's selection is ⅕. Find the probability that only one of them will be selected.? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arun and Tarun appear for an interview for two vacancies. The probability of Arun's selection is ⅓ and that of Tarun's selection is ⅕. Find the probability that only one of them will be selected.?.
Solutions for Arun and Tarun appear for an interview for two vacancies. The probability of Arun's selection is ⅓ and that of Tarun's selection is ⅕. Find the probability that only one of them will be selected.? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of Arun and Tarun appear for an interview for two vacancies. The probability of Arun's selection is ⅓ and that of Tarun's selection is ⅕. Find the probability that only one of them will be selected.? defined & explained in the simplest way possible. Besides giving the explanation of
Arun and Tarun appear for an interview for two vacancies. The probability of Arun's selection is ⅓ and that of Tarun's selection is ⅕. Find the probability that only one of them will be selected.?, a detailed solution for Arun and Tarun appear for an interview for two vacancies. The probability of Arun's selection is ⅓ and that of Tarun's selection is ⅕. Find the probability that only one of them will be selected.? has been provided alongside types of Arun and Tarun appear for an interview for two vacancies. The probability of Arun's selection is ⅓ and that of Tarun's selection is ⅕. Find the probability that only one of them will be selected.? theory, EduRev gives you an
ample number of questions to practice Arun and Tarun appear for an interview for two vacancies. The probability of Arun's selection is ⅓ and that of Tarun's selection is ⅕. Find the probability that only one of them will be selected.? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation 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