A mathematics professor is organizing her classroom into groups for the final project. Each student will either be working on a graphing (G) project or writing a paper (P). Also, each student will be working on an economics (E), finance (F), sociology (S), or criminal justice (C) problem. The dots in the Venn diagram below show the different scenarios.

 A mathematics professor is organizing her classroom into groups for the final project.  Each student will either be working on a graphing (G) project or writing a paper (P).  Also, each student will be working on an economics (E), finance (F), sociology (S), or criminal justice (C) problem.  The dots in the Venn diagram below show the different scenarios.
•    Let A be the event of a student working on a graphing project.
•    Let B be the event of a student writing a paper.
Move the dots on the Venn diagram to place the dots in the correct event, A, B,or A AND B. Note that you might not use all of the dots.

 Answer

•    Event A is the event of a student working on a graphing project, so A should contain all outcomes with a G.
•    Event B is the event of a student writing a paper, so B should contain all outcomes with a P.
•    Event A AND B should therefore contain all outcomes with both a P and a G;  however, none exist.
Notice also that nothing should be outside of the Venn Diagram because every project is either a graphing project or a paper.
 

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