Q. 145.0( 2 Votes )

# A husband and wife appear in an interview for two vacancies for the same post. The probability of husband’s selection is 1/7 and that of wife’s selection is 1/5. What is the probability thati. Both of them will be selectedii. Only one them will be selectediii. None of them will be selected

Given that,

P(HS) = P(Husband’s selection)

P(HN) = P(Not selecting Husband)

P(WS) = P(wife’s selection)

P(WN) = P(Not selecting Wife)

We need to find:

i. Both of them will be selected

ii. Only one of them will be selected

iii. None of them will be selected

P(Sboth) = P(Both of them are selected)

Since selection of each person is an independent event their probabilities multiply each other

P(Sone) = P(Only one of them is selected)

P(Sone) = P(only Husband is selected) + P(only Wife is selected)

Since selection of each person is an independent event their probabilities multiply each other

P(Snone) = P(None of them are selected)

Since selection of each person is an independent event their probabilities multiply each other

The required probabilities are .

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