Question

The grade appeal process at a university requires that a jury be structured by selecting six individuals randomly from a pool of nine students and seven faculty.​ (a) What is the probability of selecting a jury of all​ students? (b) What is the probability of selecting a jury of all​ faculty? (c) What is the probability of selecting a jury of four students and two ​faculty?

Answer 1

Solution-

We require that a jury be structured by selecting six individuals randomly from a pool of nine students and seven faculty.

So total number of people from whomcan be selected = 9 + 7 = 16

(a) Probability of selecting a jury of all​ students = 9c6 / (16c6)

= 0.01049

(b) Probability of selecting a jury of all​ faculty = 7c6 / (16c6)

= 0.000874

(c) Probability of selecting a jury of four students and two ​faculty = [ 9c4 * 7c2 ] / (16c6)

= 0.33042

Answers

TY!