Question

Alan has 229 songs on a playlist. He's categorized them in the following manner: 11 rock, 21 Latin American, 46 gospel, 30 country, 39 rap, 25 classical, and 57 pop. If Alan begins listening to his playlist on shuffle, what is the probability that the first song played is a rock song?

Answer 1

Answer: 11/229

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Work Shown:

11 rock songs

229 total

11/229 is the probability of randomly selecting a rock song. The fraction doesn't reduce since 11 and 229 have no factors in common (other than 1).

If you wanted to convert to decimal form, then 11/229 = 0.04803 approximately. This converts to about 4.803%