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?

Hence, the probability of selection of one new rock song is .

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.

∵

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

∴

Hence, the probability of selection of one new rock song is .

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)