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A radio disc jockey has 7 songs on this upcoming hour's playlist: 3 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 both songs are reggae songs? Write your answer as a fraction in simplest form.

1 Answer

5 votes

Answer:

1/21

Explanation:

Total: 7

P(reggae and reggae)

= 2/7 × (2-1)/(7-1)

= 2/7 × 1/6

= 1/21

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