AP Statistics 2.4: Probability Rules

Calculate probabilities for events and complements by defining the sample space, combining outcomes, and checking the context of each event.

Covered syllabus points

Ms. Fey is a manager at a restaurant. To improve the dining experience for her customers, she

uses a digital music service to create a playlist of songs that will be played in the restaurant.

The playlist contains 1,000 songs and consists of four different types of music in the following

quantities: 200 country songs, 400 pop songs, 100 rock songs, and 300 jazz songs. The digital

music service will select songs at random from the playlist to be played in the restaurant. Any

song can be replayed at any time.

Suppose one song is selected at random to be played. What is the probability that the

song is a rock song? Show your work.

Model Solution
$P(\text{rock song})=\frac{100}{1000}=0.10.$

Scoring components
1. Calculates 0.10.
2. Shows supporting work.

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