A radio disc jockey has 8 songs on this upcoming hour's playlist: 4 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 rock song and the second is a country song? Write your answer as a fraction in simplest form.
There is a $\dfrac{4}{8}$ probability that the first song chosen is a rock song, and after that song is chosen, there is a $\dfrac{2}{7}$ probability that a country song is chosen next. Thus, the probability that the first song is a rock song and the second is a country song is $\boxed{\dfrac{1}{7}}$.
