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AP Statistics 2.7 A Calculate Probabilities for Independent Events and for the Union of Two Events Questions

Practise testing independence and calculating intersections, complements, and unions by applying multiplication and addition rules to events and repeated trials.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • test independence by comparing conditional and marginal probabilities or checking the product rule
  • multiply probabilities for independent events and use a complement for at-least-one outcomes
  • apply the general addition rule to a union, subtracting overlap or solving for the intersection
  • sum probabilities of disjoint paths or arrangements that together form the requested event

AP Statistics 2.7 A Calculate Probabilities for Independent Events and for the Union of Two Events Questions 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.

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