Alan has 209 songs on a playlist. He's categorized them in the following manner: 42 pop, 27 country, 10 rap, 23 jazz, 36 rock, 19 Latin American, and 52 hip hop. 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.

Question

Alan has 209 songs on a playlist. He's categorized them in the following manner: 42 pop, 27 country, 10 rap, 23 jazz, 36 rock, 19 Latin American, and 52 hip hop. 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

The total number of songs on Alan's playlist is 209, and the number of hip hop songs is 52.

Therefore, the probability that the first song played is a hip hop song is:
52/209 = 0.2480

Rounded to the nearest millionth, the probability is 0.248.