What is the probability of selecting a jury of all​ students?

Question

The grade appeal process at a university requires that a jury be structured by selecting seven individuals randomly from a pool of eleven students and eight faculty.

 

 

(a) What is the probability of selecting a jury of all students? (Round to five decimal places as needed.)

(b) What is the probability of selecting a jury of all faculty? (Round to five decimal places as needed.)

(c) What is the probability of selecting a jury of four students and three faculty? (Round to five decimal places as needed.)

Answer 1

I'll just answer (c) and hope that from this example you will be able to answer (a-b).

P(4 stu, 3 fac) = 11C4•8C3 / 18C7