prob stats

Question

The grade appeal process at a university requires that a jury be structured by selecting four  individuals randomly from a pool of five students and eleven 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?

Answer 1

P(all student jury) = ₅C₄ ÷ ₁₆C₄

 

(P(all faculty) = ₁₁C₄ ÷ ₁₆C₄

 

P(2 & 2) = (₅C₂)(₁₁C₂) ÷ ₁₆C₄