Construct a Venn diagram to illustrate the possible...

Construct a Venn diagram to illustrate the possible intersections and unions for the following events relative to the sample space consisting of all automobiles made in the United States.
$$
F: \text { Four door, } S: \text { Sun roof, } P: \text { Power steering. }
$$

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Key Concepts

Intersection

The intersection of sets refers to the common elements that are present in all the sets being compared. It is typically represented by the overlapping regions in a Venn diagram, highlighting scenarios where multiple conditions are simultaneously satisfied.

Venn Diagram

A Venn diagram is a graphic organizer that uses overlapping circles to depict sets and their relationships, including intersections, unions, and complements. It visually represents how different groups share common elements or remain distinct within a universal set.

Sample Space

The sample space is the universal set that contains all possible outcomes or elements under consideration. In probability and set theory, it provides the complete context within which subsets (events) are defined and analyzed.

Union

The union of sets encompasses all the elements that are present in any of the sets under consideration. In a Venn diagram, the union is represented by the entire area covered by the circles, accounting for all elements that belong to at least one of the sets.

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