15. The grade appeal process at a university requires that a jury be structured
ID: 3359102 • Letter: 1
Question
15. The grade appeal process at a university requires that a jury be structured by selecting four individuals randomly from a pool of seven students and five
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?
(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 two students and two faculty?
__?__ (Round to five decimal places as needed.)
Explanation / Answer
Total number of selections possible = 12C4
A) Probability of selecting a jury of all students = 7C4/12C4
= 35/495
= 0.07071
B) Probability of selecting a jury of all faculty = 5C4/12C4
= 5/495
= 0.01010
C) Probability of selecting a jury of two students and two faculty = 7C2 x 5C2 / 12C4
= 21x10/495
= 0.42424
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