U2 Homework - Venn Diagram

100 customers of a local food store were polled to see if they purchased bread, milk, and/or eggs during their last trip to the grocery store. The results are as follows:

64% bought Milk, 49% bought Bread, 33% bought Eggs.

32% bought both Milk and Bread, 18%bought both Milk and Eggs, 19% bought both Bread and Eggs.

12% bought all three.

A. Draw the Venn diagram using the information given above.

B. What are the following probabilities?

1. A randomly chosen customer bought bread or milk or eggs?

2. A randomly chosen customer did not buy any of these items?

3. A randomly chosen customer only bought bread?

4. A randomly chosen customer bought bread or eggs but NOT milk?

5. A randomly chosen customer bought eggs given that they bought milk?