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Fan Appreciation Night, Part 2

Resources for this lesson:

Key Terms

Mutually exclusive
Mutually inclusive

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In the previous lesson, you learned to distinguish between independent and dependent events.  You also learned how to calculate the probability of independent events and dependent events.  In this lesson, you will explore compound events further to determine probabilities of mutually exclusive and mutually inclusive events.

If two events cannot happen at the same time, they are mutually exclusive (or disjoint events).  If two events can occur at the same time, they are mutually inclusive.  Let’s explore some scenarios.

justyce, allyson, and marissa at a baseball game

In the previous lesson, Allyson and her friends went to a minor league baseball game.  When they arrived, they learned it was Fan Appreciation Night.  Each fan that attended the game that night received a raffle ticket. Fans wrote their name on the stub of the raffle ticket and dropped the stub of the raffle ticket into a container.  Five thousand fans dropped the stubs from their raffle tickets into the container that night. The owners drew 100 raffle ticket stubs from the container.  The names written on the stubs drawn from the container were displayed on the jumbotron. Each fan whose raffle ticket stub was drawn from the container received a free ticket to an upcoming game.

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