Nick is able to achieve his lifetime goal of buying a sports card company. His first set of sports cards are released such that the chance of getting a card of an All Star player in 45%, the chance of getting an autograph is 18%, and the chance of getting an autographed card of an All Star is 2%.
A) Create a Venn Diagram and label each of the 2 circles.
B) What is the chance of getting a card that is either an All Star nor an autograph?
C) What is the chance of getting a card that contains neither an All Star nor an autograph?
D) Are teh events getting a card of an All Star and getting an autographed card independent? Give mathematical justification one way or another.