Q. 305.0( 1 Vote )

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

Given that,

P(FS) = P(Fatima’s selection)

P(FN) = P(Not selecting Fatima)

P(JS) = P(John’s selection)

P(JN) = P(Not selecting John)

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 Fatima is selected) + P(only John 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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