SOLUTION: A class consists of 2 freshman, 4 sophomores, 10 juniors, and 4 seniors. If you randomly choose 5 students, what is the probability that exactly 2 of the 5 are sophomores?

Algebra ->  Probability-and-statistics -> SOLUTION: A class consists of 2 freshman, 4 sophomores, 10 juniors, and 4 seniors. If you randomly choose 5 students, what is the probability that exactly 2 of the 5 are sophomores?      Log On


   



Question 1171762: A class consists of 2 freshman, 4 sophomores, 10 juniors, and 4 seniors. If you randomly
choose 5 students, what is the probability that exactly 2 of the 5 are sophomores?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
20 students
5 are chosen
20C5 possibilities to choose 5 students, or 15504.
4C2 are ways to choose 2 of them from 4 (=6)
16C3 are ways to choose the other 3 (=560)
that product is 3360
The probability is 3360/15504 or 0.2167