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Arun & Tarun appear for an interview for two vacancies. The probability of Arun's selection is 1/3 and that of Tarun's selection is 1/5. Find the probability that only one of them will be selected. a)2/5 b)4/5 c)6/5 d)8/5 Correct answer is option 'A'. Can you explain this answer? Most Upvoted Answer Arun & Tarun appear for an interview for two vacancies. The probab... A =1/3so A nt =2/3 and T =1/5, T nt4/5 Anot �T not= 2/3�4/5=8/15,then 1-8/15,6/15=2/5 how can 1-8/15 be 6/15?
Most Upvoted Answer
Arun & Tarun appear for an interview for two vacancies. The probabilit...
Given data:
Probability of Arun's selection = 1/3
Probability of Tarun's selection = 1/5

To find: Probability that only one of them will be selected

Solution:
Let A be the event that Arun is selected and T be the event that Tarun is selected. Then, the probability that only one of them will be selected can be calculated as:
P(A and not T) + P(not A and T)
= P(A) * P(not T) + P(not A) * P(T) [since A and T are independent events]
= (1/3) * (4/5) + (2/3) * (1/5)
= 4/15 + 2/15
= 6/15
= 2/5

Therefore, the probability that only one of them will be selected is 2/5, which is option (a).

Note: The expression 1-8/15 was probably a typo/mistake in the original question, as it does not make sense in this context.
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Arun & Tarun appear for an interview for two vacancies. The probability of Arun's selection is 1/3 and that of Tarun's selection is 1/5. Find the probability that only one of them will be selected. a)2/5 b)4/5 c)6/5 d)8/5 Correct answer is option 'A'. Can you explain this answer? Most Upvoted Answer Arun & Tarun appear for an interview for two vacancies. The probab... A =1/3so A nt =2/3 and T =1/5, T nt4/5 Anot �T not= 2/3�4/5=8/15,then 1-8/15,6/15=2/5 how can 1-8/15 be 6/15?
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Arun & Tarun appear for an interview for two vacancies. The probability of Arun's selection is 1/3 and that of Tarun's selection is 1/5. Find the probability that only one of them will be selected. a)2/5 b)4/5 c)6/5 d)8/5 Correct answer is option 'A'. Can you explain this answer? Most Upvoted Answer Arun & Tarun appear for an interview for two vacancies. The probab... A =1/3so A nt =2/3 and T =1/5, T nt4/5 Anot �T not= 2/3�4/5=8/15,then 1-8/15,6/15=2/5 how can 1-8/15 be 6/15? 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 & Tarun appear for an interview for two vacancies. The probability of Arun's selection is 1/3 and that of Tarun's selection is 1/5. Find the probability that only one of them will be selected. a)2/5 b)4/5 c)6/5 d)8/5 Correct answer is option 'A'. Can you explain this answer? Most Upvoted Answer Arun & Tarun appear for an interview for two vacancies. The probab... A =1/3so A nt =2/3 and T =1/5, T nt4/5 Anot �T not= 2/3�4/5=8/15,then 1-8/15,6/15=2/5 how can 1-8/15 be 6/15? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arun & Tarun appear for an interview for two vacancies. The probability of Arun's selection is 1/3 and that of Tarun's selection is 1/5. Find the probability that only one of them will be selected. a)2/5 b)4/5 c)6/5 d)8/5 Correct answer is option 'A'. Can you explain this answer? Most Upvoted Answer Arun & Tarun appear for an interview for two vacancies. The probab... A =1/3so A nt =2/3 and T =1/5, T nt4/5 Anot �T not= 2/3�4/5=8/15,then 1-8/15,6/15=2/5 how can 1-8/15 be 6/15?.
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