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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
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Arun & Tarun appear for an interview for two vacancies. The probab...
Solution:

Probability of Arun's selection: P(Arun) = 1/3

Probability of Tarun's selection: P(Tarun) = 1/5

To find the probability that only one of them will be selected, we need to consider two cases:
1. Arun is selected and Tarun is not selected
2. Tarun is selected and Arun is not selected

Case 1: Arun is selected and Tarun is not selected
P(Arun and not Tarun) = P(Arun) * P(not Tarun) = (1/3) * (4/5) = 4/15

Case 2: Tarun is selected and Arun is not selected
P(Tarun and not Arun) = P(Tarun) * P(not Arun) = (1/5) * (2/3) = 2/15

Therefore, the total probability that only one of them will be selected is:
P(only one selected) = P(Arun and not Tarun) + P(Tarun and not Arun) = 4/15 + 2/15 = 6/15 = 2/5

Hence, the probability that only one of them will be selected is 2/5.
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Arun & Tarun appear for an interview for two vacancies. The probability of Aruns selection is 1/3 and that of Taruns selection is 1/5. Find the probability that only one of them will be selected.a)2/5b)4/5c)6/5d)8/5Correct answer is option 'A'. Can you explain this answer?
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Arun & Tarun appear for an interview for two vacancies. The probability of Aruns selection is 1/3 and that of Taruns selection is 1/5. Find the probability that only one of them will be selected.a)2/5b)4/5c)6/5d)8/5Correct answer is option 'A'. Can you explain this answer? 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 Aruns selection is 1/3 and that of Taruns selection is 1/5. Find the probability that only one of them will be selected.a)2/5b)4/5c)6/5d)8/5Correct answer is option 'A'. Can you explain this answer? 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 Aruns selection is 1/3 and that of Taruns selection is 1/5. Find the probability that only one of them will be selected.a)2/5b)4/5c)6/5d)8/5Correct answer is option 'A'. Can you explain this answer?.
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