Question

Philip has 54 rock songs, 31 hip hop songs, 18 country songs, and 21 pop songs on his iPhone. If one song is chosen at random what is the probability it is not a country song?

Answer 1

First let's find the total number of songs in his iPhone:

$54+31+18+21=124$

Now, let's calculate the probability of a random song being a country song by dividing the amount of country songs by the total number of songs:

$P=\frac{18}{124}=\frac{9}{62}$

Since we want the probability of the song not being a country song, let's calculate 1 minus this probability:

$P^{\prime}=1-P=1-\frac{9}{62}=\frac{62-9}{62}=\frac{53}{62}=0.8548$

So the probability is 0.8548 or 85.48%.