Question

Javier’s movie collection consists of 3 action movies, 5 comedies, and 9 dramas. In a rush, he randomly grabs 3 movies to bring on a plane flight. What is the probability that he chose 2 action movies and 1 comedy?

Answer 1

Answer:

3/136 is the simplified answer I believe

Answer 2

The required probability is found as follows:
$P(2\ action+1\ comedy)=\frac{3C2\times5C1}{17C3}=\frac{3\times5}{680}=\frac{1}{136}\ or\ 0.022$