A designer of electronic equipment wants to develop a calculator which will have market appeal to high school students. Past marketing surveys have shown that the color of the numeric display is important in terms of market preference. The designer makes up 210 sample calculators and then has a random sample of students from the area high schools rate which calculator they prefer. The calculators are identical except for the color of the display. The results of the survey were that 96 students preferred red, 82 preferred blue, and 32 preferred green. 
Definitions:
Joint Probability
The likelihood of two or more events occurring simultaneously given the intersection of the events.
Intersection
The point or set of points where two or more mathematical sets or geometrical shapes meet or overlap.
Union of Events
A set operation that combines all the outcomes of two or more events, with no duplicate outcomes.
Occurs
Happens or takes place in a particular situation or context.
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