What is the chance Clarice will pick 3 classical CDs?

Question

Clarice has 7 new CDs; 3 are classical music and the rest are pop music. If she randomly grabs 3 CDs to listen to in the car on her way to school, what is the probability that she will select only classical music?

Answer 1

She has the probability of 3/7 of picking a classical CD on her first attempt.

Second attempt there are only 6 CD's and there will be two classicals remaining if she picked one on the first attempt.

Third attempt there are only 5 CD's and there will only be one classical if she picked two already.

 

P(3 classical CD's) = 3/7*2/6*1/5