AI Tutor
Back to 3.2 Independent and Mutually Exclusive Events

3.2 Exercise 14

Avg difficulty 2.5

In a basketball arena,

  • 70% of the fans are rooting for the home team.
  • 25% of the fans are wearing blue.
  • 20% of the fans are wearing blue and are rooting for the away team.
  • Of the fans rooting for the away team, 67% are wearing blue.

Let A be the event that a fan is rooting for the away team.
Let B be the event that a fan is wearing blue.
Are the events of rooting for the away team and wearing blue independent? Are they mutually exclusive?

OpenStax Introductory Business Statistics 2e, 3.2 Independent and Mutually Exclusive Events, exercise 14

AI Tutor

Adapted from Introductory Business Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Business Statistics 2e. Imported at revision 50ec917.