A boy and a girl appear for an interview for two vacancies in an organization for the same post The ...........

Quantitative Aptitude (CDS) Probability

A boy and a girl appear for an interview for two vacancies in an organization for the same post. The probabilities of their selection are 1/5 and 3/7 respectively. What is the probability that none of them will be selected?

3/35

16/35

1/35

1/2

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Explanation:

If P(B) and P(G) be the probability of the selection for a boy and a girl respectively, then
P( B)=1/5 ,P(G)=3/7
Therefore required probability= ( 1 – 1/5)×(1 – 3/7 )
= 4/5×4/7
=16/35