Question

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?

Answer 1

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

$666+777+999\\ =2442$

The formula for probability is given by

$P(E)=\frac{n(E)}{n(s)}$

Let us first find the probability for rap song

$P(\text{rap song})= \frac{999}{2442} \\ P(\text{rap song})= \frac{9}{22}$\\

Therefore, we have

$P(\text{ not rap song})=1- P(\text{rap song})\\ \\ P(\text{ not rap song})=1-\frac{9}{22} \\ \\ P(\text{ not rap song})=\frac{13}{22} =0.59$

Hence, we have

P(not rap song)=0.59