Statistics-Probabilities without replacement

Question

A history class is comprised of 7

 female and 9

 male students. If the instructor of the class randomly chooses 12

 students from the class for an oral exam, what is the probability that 5

 female students and 7

 male students will be selected? Round your answer to 3

 decimal places.

Answer 1

In Excel, hypgeom.dist(5,12,7,16,0) = .415

Alternate solution: Combin(7,5)*Combin(9,7)/Combin(16,12)