Question

A radio disc jockey has 7 songs on this upcoming hour's playlist: 2 are rock songs, 2 are reggae songs, and 3 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 country song and the second is a reggae song? Write your answer as a fraction in simplest form.

Answer 1

probability first song is country is 3/7
probability second song is reggae is 2/6 which reduces to 1/3
probability of both is : 3/7 * 1/3 = 3/21 which reduces to 1/7 <==