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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 of them selected is
  • a)
    1/35
  • b)
    2/35
  • c)
    3/35
  • d)
    4/35
Correct answer is option 'A'. Can you explain this answer?
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Question:
A husband and wife appear in an interview for two vacancies for the same post. The probability of the husband being selected is 1/5, while the probability of the wife being selected is 1/7. What is the probability that both of them are selected?

Solution:

To find the probability that both the husband and wife are selected, we need to multiply their individual probabilities of being selected.

Let's assume:
- P(H) = Probability of the husband being selected = 1/5
- P(W) = Probability of the wife being selected = 1/7

Method: Multiplication Rule of Probability

The multiplication rule states that the probability of two independent events occurring together is the product of their individual probabilities.

Calculation:

P(Both Selected) = P(H) * P(W)
= (1/5) * (1/7)
= 1/35

Therefore, the probability that both the husband and wife are selected is 1/35.

Answer:
The correct answer is option 'A' (1/35).
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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 of them selected isa)1/35b)2/35c)3/35d)4/35Correct answer is option 'A'. Can you explain this answer?
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