We have been given that Greg's Jumble has 666 classical songs, 777 rock songs, and 999 rap songs.
Therefore, total number of songs are
[tex]666+777+999\\ =2442[/tex]
The formula for probability is given by
[tex]P(E)=\frac{n(E)}{n(s)}[/tex]
Let us first find the probability for rap song
[tex]P(\text{rap song})= \frac{999}{2442} \\ P(\text{rap song})= \frac{9}{22}[/tex]\\
Therefore, we have
[tex]P(\text{ not rap song})=1- P(\text{rap song})\\ \\ P(\text{ not rap song})=1-\frac{9}{22} \\ \\ P(\text{ not rap song})=\frac{13}{22} =0.59[/tex]
Hence, we have
P(not rap song)=0.59
