Need Help on this problem

Question

A radio disc jockey has 7 songs on this upcoming hour's playlist: 3 are rock songs, 2 are reggae songs, and 2
are country songs. The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. What is the probability that the first song is a reggae song and the second is a rock song? Write your answer as a fraction in simplest form.

Answer 1

P(first is reggae)=2/7

P(second is rock)=3/6=1/2

P(first reggae and second rock)=(2/7)(1/2)=2/14=1/7 (you could have simplified before multiplying)