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A husband and wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is 1/7 and that of wife's is 1/5.
What is the probability that none of them will be selected?
  • a)
    2/7
  • b)
    1/35
  • c)
    24/35
  • d)
    11/35
Correct answer is option 'C'. Can you explain this answer?
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A husband and wife appear in an interview for two vacancies in the sa...
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A husband and wife appear in an interview for two vacancies in the sa...
Probability of husband's selection:
- Probability of husband's selection = 1/7

Probability of wife's selection:
- Probability of wife's selection = 1/5

Probability that neither of them will be selected:
To find the probability that neither of them will be selected, we need to find the probability that both the husband and wife are not selected. This can be calculated using the complement rule.

Probability that husband is not selected:
- Probability that husband is not selected = 1 - 1/7 = 6/7

Probability that wife is not selected:
- Probability that wife is not selected = 1 - 1/5 = 4/5

Probability that neither of them is selected:
- Probability that neither of them is selected = Probability that husband is not selected * Probability that wife is not selected
- = (6/7) * (4/5)
- = 24/35
Therefore, the probability that neither the husband nor the wife will be selected is 24/35, which corresponds to option 'C'.
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A husband and wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is 1/7 and that of wife's is 1/5.What is the probability that none of them will be selected?a)2/7b)1/35c)24/35d)11/35Correct answer is option 'C'. Can you explain this answer?
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A husband and wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is 1/7 and that of wife's is 1/5.What is the probability that none of them will be selected?a)2/7b)1/35c)24/35d)11/35Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A husband and wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is 1/7 and that of wife's is 1/5.What is the probability that none of them will be selected?a)2/7b)1/35c)24/35d)11/35Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A husband and wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is 1/7 and that of wife's is 1/5.What is the probability that none of them will be selected?a)2/7b)1/35c)24/35d)11/35Correct answer is option 'C'. Can you explain this answer?.
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