What is the probability that the minority applicant is chosen for the positions in the following case.Four equally qualified people apply for two...

There are four equally qualified applicants of which only
one is from a minority group. There are two positions to be filled and the applicants
are chosen at random.

Two cases are possible here, the
minority applicant is chosen for the first position or the minority applicant can be
chosen for the second position.

To fill the first position,
there is one minority applicant and 3 others. the probability that the minority
applicant is chosen is 1/4.

In case the minority applicant
is not chosen for the first post, there are 2 applicants left who do not belong to the
minority and one minority applicant. The probability that the minority applicant is
chosen here is 1/3.

Considering both positions the
probability that the minority applicant is chosen are (1/4) + (1/3) =
7/12

The required probability that the
minority applicant is chosen are 7/12.