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

Hence, the probability of selection of one new rock song is
`(5)/(14)`.

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)= (Favourable\ Events)/(Total\ no.\ of\ outcome)`

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

∴
`P(A)=(Favourable \ events)/(Total\ no.\ of\ outcome)`

`= (5)/(14)`

Hence, the probability of selection of one new rock song is
`(5)/(14)`.