Lemma
EasyConditional probability
OpenStax, Introductory Statistics 2e §3.2 Independent and Mutually Exclusive Events · Try It 8 · Probability · Conditional probability

Independent and Mutually Exclusive Events · Try It 8

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?

Its source prints no answer for this problem, so there's nothing to check against.

~5 minWritten answer · compare with the solution

OpenStax, Introductory Statistics 2e · §3.2 Independent and Mutually Exclusive Events · Try It 8

Stuck? A gentle nudge

No hints for this one.

Something off?
Workspace
Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.