Question 328774
Let 1 2 3 4 be the applicants.
a) Here are the possible two choices to fill the two positions. 
1 2 
1 3 
1 4
2 3 
2 4 
3 4
.
.
.
b) Six possible outcomes, all are equally qualified, each outcomes has 1/6 probability.
Probability of choosing 1=1/6+1/6+1/6=3/6=1/2 
Probability of choosing 2=3/6=1/2 
Probability of choosing 3=3/6=1/2 
Probability of choosing 4=3/6=1/2 
.
.
.
c) Independent of whether the minority is 1,2,3 or 4, the probability of filling one of the two positions is 1/2.