Fatima and John appear in an interview for two vacancies in the same post. The probability of Fatima's selection is that of John's selection is what is the probability that both of them will be selected? - Wired Faculty

Probability

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Fatima and John appear in an interview for two vacancies in the same post. The probability of Fatima's selection is $1 over 7 space and space$ that of John's selection is $1 fifth.$ what is the probability that both of them will be selected?

Solution

Let A : Fatima is selected
B : John is selected
Clearly ‘A’ and ‘B’ are independent.
P(both of them will be selected)
$equals space straight P left parenthesis straight A intersection straight B right parenthesis space space straight P left parenthesis straight A right parenthesis space straight P left parenthesis straight B right parenthesis space equals space 1 over 7 cross times 1 fifth space equals space 1 over 35$

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Probability

Fatima and John appear in an interview for two vacancies in the same post. The probability of Fatima's selection is $1 over 7 space and space$ that of John's selection is $1 fifth.$ what is the probability that both of them will be selected?

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