Respuesta :
Total number of songs is [tex] 14+16+17= 47 [/tex]
And out of 47, total number's of katy Pery's songs are 17.
So probability that the next song will be the song of Katy Pery is
[tex] = \frac{17}{47} [/tex]
And therefore probability that the next song is not of Kety's pary's song is
[tex] 1-\frac{17}{47} = \frac{30}{47} [/tex]
And that's the required answer .