document.write( "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.
\n" ); document.write( "a, list the possible outcomes for this experiment.
\n" ); document.write( "b, assign reasonable probabilities to the sample points.
\n" ); document.write( "c, find the probability that the applicant from the minority group is selected for a position. \n" ); document.write( "
Algebra.Com's Answer #235560 by Fombitz(32388)\"\" \"About 
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Let 1 2 3 4 be the applicants.
\n" ); document.write( "a) Here are the possible two choices to fill the two positions.
\n" ); document.write( "1 2
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\n" ); document.write( "2 3
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\n" ); document.write( "b) Six possible outcomes, all are equally qualified, each outcomes has 1/6 probability.
\n" ); document.write( "Probability of choosing 1=1/6+1/6+1/6=3/6=1/2
\n" ); document.write( "Probability of choosing 2=3/6=1/2
\n" ); document.write( "Probability of choosing 3=3/6=1/2
\n" ); document.write( "Probability of choosing 4=3/6=1/2
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\n" ); document.write( "c) Independent of whether the minority is 1,2,3 or 4, the probability of filling one of the two positions is 1/2. \n" ); document.write( "
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