A radio disc jockey has 7 songs on this upcoming hours playlist: 3 are rock songs, 2 are reggae songs, and 2 are country songs. The disc jockey randomly chooses

Question

The second song from the random ones. What is the probability that both songs are reggae songs? Write your answer in fraction in the simplest form. 

Answer 1

The question is a little confusing, but I am guessing it's asking for the probability that the first two songs on the random playlist are reggae. The probability of the first song being reggae is 2/7 since there are 2 reggae songs on the list and 7 total songs. Given that the first song was reggae, the probability that the second song is reggae is 1/6 since there is one remaining reggae song from the remaining 6 total songs. To get the probability that both songs are reggae, you need to multiply: (2/7) * (1/6) = 2/42 = 1/21.