Fan Appreciation Night, Part 2
Resources for this lesson:
Key Terms:
Intersection
Union
Addition Rule
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Create and Analyze
The
is known as finding the probability of the intersection of A and B, and may also be written as
. Let’s explore what finding
means for mutually inclusive events. Since mutually inclusive events can occur at the same time, the situation can be represented with a Venn diagram:

To find the probability of the intersection of A or B,
, we cannot simply find the
, because the two probabilities overlap with the section
. This section would be counted twice.

Since the
, the union of A and B, is counted twice, you would need to subtract one of these sections to find the
. So, when events are mutually inclusive, you apply the Addition Rule,

Let’s explore how to find the probability of winning a t-shirt or a hat.





for mutually inclusive events, add the probability of the first event to the probability of the second event and then subtract the probability of both occurring. 