Question

Cole has 181 songs on a playlist. He categorized them in the following manner. 31 gospel, 20 blues, 36 classical, 24 rap, 16 rock, 9 pop, and 45 jazz. If Cole begins listening to his playlist on shuffle, what is the probability that the first song played is a classical song? Express your answer as a fraction.

Answer 1

We were given the following information:

Cole has 181 songs on a playlist

31 gospel, 20 blues, 36 classical, 24 rap, 16 rock, 9 pop, and 45 jazz

If Cole begins listening to his playlist on shuffle, the probability that the first song played is a classical song is given by:

$\begin{gathered} Pr=\text{obability} \\ P(classical)=\frac{\text{Number of classical songs}}{Total\text{ no. songs}} \\ \text{Number of classical songs}=36 \\ \text{Total = 181} \\ P\mleft(classical\mright)=\frac{36}{181} \\ \\ \therefore P(classical)=\frac{36}{181} \end{gathered}$