AP Statistics 2.7 Independent Events Overview
Calculate probabilities for independent events and unions by selecting multiplication or addition rules that match the event structure.
- Syllabus
- Effective Fall 2025
- Course
- AP Statistics
Covered syllabus points
2.7 Independent Events and Unions of Events question 1
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 two songs are selected at random to be played. What is the probability that both
songs are rock songs? Show your work.
Model Solution
Because any song can be replayed, the selections are independent:
P(both rock)=(0.10)(0.10)=0.01.
Scoring components
3. Calculates the probability consistently with part A(i).
4. Shows supporting work consistent with part A(i).
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