The grade appeal process at a university requires that a jury be structured by selecting four individuals randomly from a pool of thirteen students and six 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 two students and two faculty?

Given : Number of individual needed to be selected to form jury = 4

Number of students = 13

Number of faculty members = 6

Total = 13+6=19

Using combinations , the number of combinations of choosing jury of 4 individuals

=

a)  Number of ways of selecting jury of all students

=

The probability of selecting a jury of all faculty=

b) The number of ways of selecting jury of all faculty=

The probability of selecting a jury of all faculty=

c) The number of ways of selecting jury of 2 students and two faculty:

Now, the probability of selecting a jury of six students and two two faculty

is there answer choices?