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FavvBella84
29.03.2021 •
Mathematics
A radio disc jockey has 8 songs on this upcoming hour's playlist: 2 are rock songs, 4 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.
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Ответ:
Step-by-step explanation:
we are given 8 songs
2 are rock. 4 are reggae, 2 are country
we want to figure out the probability of getting both reggae songs
notice that, they aren't replacing thus it's an independent probability
recall that,
P(A) represents the chance of getting our subject first time and P(B|A) represents the chance of getting the same subject second time
let's figure out P(A)
we have 2 reggae songs
and total 8 songs
therefore
let's figure out P(B|A)
since we took a reggae song before now we have only a reggae song
and total 8-1=7
therefore
Altogether
simplify multiplication:
And we are done!
Ответ:
6/4 = 1.5
16 x 1.5 = 24
JL = 24