Tuesday!

Tonight, please complete the Venn Diagram practice problems provided in class.

This will be collected and graded as a 16 point AP Problem (techinically classwork) grade! Don't get a 0!
(1 point per answer (a,b, or c) and 1 point per Venn Diagram--you need 4).

Here are the questions in case you lost the paper...

Probability and Venn Diagrams


• Look for an overlap. If categories overlap (which means you’ll see the word “both”), then a Venn Diagram is often the best strategy to use.



1. A survey of college students shows that 56% live on campus, 62% have a campus meal plan, and 42% do both. What is the probability that a randomly selected student…
a. lives on campus or has a meal plan?
b. Lives in a residence hall but doesn’t have a meal plan?
c. Lives off campus and doesn’t have a meal plan?

2. Suppose the probability that a U.S. resident has traveled to Canada is 0.18, to Mexico is 0.09, and to both countries is 0.04. What’s the probability that an American chosen at random has…
a. Traveled to Canada but not Mexico?
b. Traveled to either Canada or Mexico?
c. Not traveled to either country?

3. Employment data at a large company reveal that 72% of the workers are married, 44% are college graduates, and half of the college grades are also married. What’s the probability that a randomly chosen worker…
a. Is neither married nor a college graduate?
b. Is married but not a college graduate?
c. Is married or a college graduate?

4. Real estate ads suggest that 64% of homes for sale have garages, 17% have both a garage and a pool, and 32% have neither a garage nor a pool. What is the probability that a home for sale has…
a. A pool or a garage?
b. A pool but no garage
c. A pool or a garage but not both?