Question

There are 5 comedy, 8 action, and 11 children DVDs on a rack. Susan randomly selects 3 of them. What is the probability that she selects a comedy, followed by an action, then a children's?

Answer 1

$|\Omega|=24\cdot23\cdot22=12144\\ |A|=5\cdot8\cdot11=440\\\\ P(A)=\dfrac{440}{12144}=\dfrac{5}{138}$