Practise defining sample spaces and events, comparing equally likely outcomes, and calculating an event or its complement from counts or listed probabilities.
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.
A.
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(rock song)=1000100=0.10.
Scoring components
1. Calculates 0.10.
2. Shows supporting work.