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Common Data Questions: 16 and 17
A husband and wife appear in an interview for two vacancies for same post. The probability of husband is to be selected is 1/5 while the probability that wife is to be selected is 1/7.
Q.Probability that both are rejected
  • a)
    24/35
  • b)
    7/35
  • c)
    18/35
  • d)
    1/35
Correct answer is option 'A'. Can you explain this answer?
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Common Data Questions: 16 and 17A husband and wife appear in an interv...
Probability of both husband and wife being rejected:
- Let's denote the probability of husband being selected as P(H) = 1/5
- Similarly, the probability of wife being selected is P(W) = 1/7
- The probability of husband being rejected is 1 - P(H) = 4/5
- The probability of wife being rejected is 1 - P(W) = 6/7

Calculating the probability that both are rejected:
- The probability that both husband and wife are rejected is P(H') * P(W') where H' represents husband being rejected and W' represents wife being rejected.
- P(H') * P(W') = (4/5) * (6/7) = 24/35
Therefore, the probability that both husband and wife are rejected is 24/35, which corresponds to option 'A'.
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Common Data Questions: 16 and 17A husband and wife appear in an interview for two vacancies for same post. The probability of husband is to be selected is 1/5 while the probability that wife is to be selected is 1/7.Q.Probability that both are rejecteda)24/35b)7/35c)18/35d)1/35Correct answer is option 'A'. Can you explain this answer?
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