Balwant and Kulwant appeared for an interview. The probability of their selection is respectively. Find the probability neither of them selected. - Wired Faculty

Probability

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Balwant and Kulwant appeared for an interview. The probability of their selection is $1 third space and space 1 fifth$ respectively. Find the probability neither of them selected.

Solution

Let A : Balwant is selected
B : Kulwant is selected
$therefore space space space straight P left parenthesis straight A right parenthesis space equals space 1 third comma space space straight P left parenthesis straight B right parenthesis space equals 1 fifth$
P(neither selected) = P(not A and not B) = P(not A) P(not B) = [1 - P(A)] [1 - P(B)]
$equals space open parentheses 1 minus 1 third close parentheses space open parentheses 1 minus 1 fifth close parentheses space equals space 2 over 3 cross times 4 over 5 space equals space 8 over 15$

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Probability

Balwant and Kulwant appeared for an interview. The probability of their selection is $1 third space and space 1 fifth$ respectively. Find the probability neither of them selected.

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