Greg has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Greg's Jumble has 666 classical songs, 777 rock songs, and 999 rap songs on it. What is \text{P(not a rap song})P(not a rap song)P, left parenthesis, n, o, t, space, a, space, r, a, p, space, s, o, n, g, right parenthesis?
Question
Answer:
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} \\ Β 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 haveP(not rap song)=0.59
solved
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