OpenStax, Statistics §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 percent of the fans are rooting for the home team,
• 25 percent of the fans are wearing blue,
• 20 percent of the fans are wearing blue and are rooting for the away team, and
• Of the fans rooting for the away team, 67 percent 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, Statistics · §3.2 Independent and Mutually Exclusive Events · Try It 8
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