SOLUTION: 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 o

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
.
.
.
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.
RELATED QUESTIONS
To replace the workers who left the company, a manager must find one qualified individual (answered by richwmiller)

A deparsntment store is hiring for the positions of manager, associate manager, and... (answered by solver91311)

Traditionally, one-half of all cities that apply get job training grants. Four southern... (answered by ikleyn,Alan3354)

An employer interviews people for technical support positions in a company, and of the (answered by stanbon)

An employer interviews people for computer programming positions in a company, and of... (answered by ikleyn)

an employer interviews 10 people for 6 management positions in a company,and 5 of the 10... (answered by Boreal)

i have solved b plz help w/ a and b A company has five applicants for two positions:... (answered by Theo)

A company has five applicants for two positions: two women and three men. Suppose that... (answered by stanbon)

5. Among the applicants to two vacant positions, three males and two female applicants... (answered by CPhill)