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Among 15 applicants for a job, 10 have college degrees. If 3 of the applicants are randomly
chosen for an interview what are the probabilities 1 has a college degree?
Solution
No. of ways of selecting 3 applicants from 15 = 15C3
No. of ways of selecting 3 out of which 1 has the degree, the other two do not = 10C1 * 5C2
P = 10C1 * 5C2 / 15C3
= 10*10 / 455
= 20 / 91
= 0.2198

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Among 15 applicants for a job, 10 have college degrees. If 3 of the .pdf

  • 1. Among 15 applicants for a job, 10 have college degrees. If 3 of the applicants are randomly chosen for an interview what are the probabilities 1 has a college degree? Solution No. of ways of selecting 3 applicants from 15 = 15C3 No. of ways of selecting 3 out of which 1 has the degree, the other two do not = 10C1 * 5C2 P = 10C1 * 5C2 / 15C3 = 10*10 / 455 = 20 / 91 = 0.2198