Answer:
Hence, the probability of selection of one new rock song is [tex]\frac{5}{14}[/tex].
Step-by-step explanation:
As given in the question, Doug bought 9 new country songs and 5 new rock songs.
and we have to find the probability that it will be a rock song.
Now,
Doug bought 9 new country songs
Doug bought 5 new rock songs
Therefore, Total number of songs bought by Doug = 9 new country songs + 5 new rock songs
∴ Total number of songs bought by Doug = 5+9 = 14.
∵ [tex]P(E)= \frac{Favourable\ Events}{Total\ no.\ of\ outcome}[/tex]
Let, the event A is defined as the selection of one Rock Song
∴[tex]P(A)=\frac{Favourable \ events}{Total\ no.\ of\ outcome}[/tex]
[tex]= \frac{5}{14}[/tex]
Hence, the probability of selection of one new rock song is [tex]\frac{5}{14}[/tex].
