Question

A certain local coiffeur business owner has several shops and a total of 36 employees inclusive of 24 aestheticians and 12 support staff. A forum is advertised regarding a brand new way of coloring hair. The forum is located in Spring City, which is 500 miles away. The business owner has the wherewithal to send 10 persons to the forum, including per diem. Optimally, she wishes to send 7 aestheticians and 3 support staff. If these individuals’ names are selected from a hat at random, what is the probability of acheiving the optimal combination of aestheticians & support staff? Use your knowledge of hypergeometric probability. a. 0.400 b. 0.200 c. 0.300 d. 0.600

Answer 1

Number of ways of selecting 10 persons out of 36 is

Number of ways of selecting 7 aestheticians and 3 support staff is

The probability of acheiving the optimal combination of aestheticians & support staff is

Correct option is c.