Question

Alan has 169 songs on a playlist. He's categorized them in the following manner: 22 pop, 34 rock, 29 classical, 8 gospel, 15 hip hop, 19 rap, and 42 folk. If Alan begins listening to his playlist on shuffle, what is the probability that the first song played is a hip hop song? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answer 1

Solution

The total songs on Alan's playlist is 169 songs

The probability, P, formula is

$P=\frac{Required\text{ outcome}}{Total\text{ outcome}}$

There are 15 hip hop songs on Alan's playlist.

The required outcome is 19

The total outcome is 169

To find the probability that the first song played is a hip hop song,

Substitute the outcomes into the formula of probability

$\begin{gathered} P=\frac{Requ\imaginaryI red\text{outcome}}{Total\text{outcome}} \\ P=\frac{15}{169} \end{gathered}$

Hence, the answer is 15/169