Question

Question #a5fe0

Answer 1

Clarice has 7 new CDs; 3 are classical music and the rest 4 are pop music.

If she randomly grabs 3 CDs to listen to in the car on her way to school, the possible total number of events will be

`""^7C_3=(7!)/(3!xx4!)=(7xx6xx5)/(3xx2)=35`

The favourable number of events of selecting 3 CDs to be of classical music is given by
`""^3C_3=1`

So the probability that she will select only classical music is

`P=(""^3C_3)/(""^7C_3)=1/35`