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The green is clearly the $A \cap B$.

But what is just $A$ or just $B$

If I want to shade the event $A$, would it be:

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Does the event $A$ include the intersection as well?

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    Event $A$ will include the intersection. If you were not to include the intersection that would be $A \cap B^c$ or $A$ and not $B$. I think part of the problem comes from imprecise terminology.2017-01-23
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    Just $A$ or just $B$ is $(A-B) \cup (B-A).$ Is this what you ask?2017-01-23

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