Venn Diagrams and Probability
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Notation
Terminology
Venn Diagram
Not A
A and B
A or B
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Example: In a large apartment complex, 35% of residents read USA Today. Only 20% read the New York Times. Five percent read both papers. If we select a resident of the apartment complex at random, what's the probability that he or she doesn't read either paper?
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Example #2: Students in a college statistics class wanted to find out how common it was for young adults to have their ears pierced.
The following data represents all 178 students in the class. There were 90 males, 19 of which had pierced ears. There were 84 females with pierced ears. total
total
1. Let event P be having pierced ears and event F be being female. Construct a Venn Diagram
2. Find the probability that a randomly selected student will have pierced ears
3. Find the probability that a randomly selected student will be a male with pierced ears
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