The grade appeal process at a university requires that a jury be structured by s

Question

The grade appeal process at a university requires that a jury be structured by selecting four individuals randomly from a pool of ten 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? (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

4 jury members can be selected in 16C4 ways

a) Selecting all student jury member can be done in 10C4 ways

Hence, required probability = 10C4/ 16C4

= 0.115

b)

Selecting all faculty jury members can be done in 6C4 ways

hence, required probability = 6C4/ 16C4

= 0.0082

c)

Probability of selecting 2 student and 2 faculty = (10C2*6C2)/(16C4)

= 0.3708

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