SOLUTION: Suppose there are 500 applicants for five equivalent positions at a factory. Company is able to narrow the field to 30 equally qualified applicants. 7 of the finalists are minority

Question 339766: Suppose there are 500 applicants for five equivalent positions at a factory. Company is able to narrow the field to 30 equally qualified applicants. 7 of the finalists are minority candidates.Assume that 5 who are chosen are selected randomly from final group of 30.
question:
1. what is the probability that none of the minority is hired?
2. what is the probability that no more than 1 minority candidate is hired?

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Combination of n things taken r at a time: nCr=n!/((n-r)!r!)
.
23C5/30C5=33649/142506=.2361 the probability that none of the minority is hired.
.
((23C4*7C1)+23C5)/30C5=95634/142506=.6711 the probability that no more than 1 minority candidate is hired.
.
Ed
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