Question

Doug bought 9 new country songs and 5 new rock songs for his music player. If his player randomly selects one of the new songs Doug just bought to play, what is the probability it will be a rock song?

Answer 1

Answer:

Hence, the probability of selection of one new rock song is $\frac{5}{14}$.

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.

∵ $P(E)= \frac{Favourable\ Events}{Total\ no.\ of\ outcome}$

Let, the event A is defined as the selection of one Rock Song

∴$P(A)=\frac{Favourable \ events}{Total\ no.\ of\ outcome}$

          $= \frac{5}{14}$

Hence, the probability of selection of one new rock song is $\frac{5}{14}$.