Surjit and Sachdev 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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Surjit and Sachdev appeared for an interview. The probability of their selection is $1 third space and space 1 over 6$ respectively. Find the probability neither of them selected.

Solution

Let A : Surjit is selected
B ; Sachdev is selected
$therefore space space space straight P left parenthesis straight A right parenthesis space equals space 1 third comma space space straight P left parenthesis straight B right parenthesis space equals space 1 over 6$
Clearly A and B are independent.
P(neither selected) = P(not A and not B) = P(not A) P(not B) = [1 - P(A)] [1 - P(B)]
= $space open parentheses 1 minus 1 third close parentheses space open parentheses 1 minus 1 over 6 close parentheses space equals 2 over 3 cross times 5 over 6 space equals 5 over 9$

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Probability

Surjit and Sachdev appeared for an interview. The probability of their selection is $1 third space and space 1 over 6$ respectively. Find the probability neither of them selected.

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