A radio disc jockey has 8 songs on this upcoming hour's playlist: 3 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 rock song and the second is a country song? Write your answer as a fraction in simplest form.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...
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A radio disc jockey has

8

songs on this upcoming hour's playlist:

3

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 rock song and the second is a country song? Write your answer as a fraction in simplest form.

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