Let B be the event that you will buy a new car, let A be the event that the car will be an American made car, and let P be the event that you will make payments instead of paying in cash. Express the following in symbols.
"You will buy a used car or you will buy an American made car and make payments."

A) $\left( B ^ { \prime } \cap A \right) \cup P$
B) $B ^ { \prime } \cup ( A \cap P )$
C) $B ^ { \prime } \cap ( A \cup P )$
D) $B ^ { \prime } \cap A \cap P$
E) $\left( B ^ { \prime } \cup A \right) \cap P$

Question

Let B be the event that you will buy a new car, let A be the event that the car will be an American made car, and let P be the event that you will make payments instead of paying in cash. Express the following in symbols.  
"You will buy a used car or you will buy an American made car and make payments."
 
A) $\left( B ^ { \prime } \cap A \right) \cup P$
B) $B ^ { \prime } \cup ( A \cap P )$
C)   $B ^ { \prime } \cap ( A \cup P )$
D)   $B ^ { \prime } \cap A \cap P$
E)   $\left( B ^ { \prime } \cup A \right) \cap P$

Quizplus · Accepted Answer

The correct expression is $B ^ { \prime } \cup ( A \cap P )$, which translates to "You will buy a used car (B') or (union) you will buy an American made car (A) and (intersection) make payments (P)."

Let B Be the Event That You Will Buy a New