Probability

Question

A high school class of 5 seniors, 10 juniors, 12 sophomores, and 5 freshmen. Exactly 2 of the juniors are male, and exactly 4 of the sophomores are female. If two students are randomly selected from this class, what is the probability that the pair consists of a female junior and a male sophomore?

 

So I understand the basics of:  Probability of the Event = number of successful event/total number of possible events

I've done 32C2 to determine there are 496 ways to select 2 individuals out of the entire high school class.  What I can not figure out is how to figure out the selection of 1 female junior and 1 male sophomore to then determine the probability.

Answer 1

P(A), female junior: 8/27

P(B), male sophomore: 8/27

 

P(A∧B) = P(A) x P(B)

 

What is that?