Question 328774: Four equally qualified people apply for two identical positions in a company. One and only one applicant is a member of a minority group. The positions are filled by choosing two of the applicants at random.
a, list the possible outcomes for this experiment.
b, assign reasonable probabilities to the sample points.
c, find the probability that the applicant from the minority group is selected for a position.
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! 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
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.
.
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
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.
.
c) Independent of whether the minority is 1,2,3 or 4, the probability of filling one of the two positions is 1/2.
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