Question

A radio disc jockey has 7 songs on this upcoming hours playlist: 2 are rock songs, 2 are reggae songs, and 3 are country songs. The disc jockey randomly choose the first song to play, and then she randomly choose a second song from the remaining ones. What is the probability that the first song is a rock song and the second song is a country song?

Write your answer as a fraction in simplest form.

Answer 1

Probability of a rock song would be 2/7 ( 2 rock songs out of 7 total songs)

Probability of a country song after that would be 3/6 (3 country songs out of 6 songs left) this can be reduced to 1/2

The probability of both = 2/7 x 1/2 = 2/14 = 1/7