Suppose two dice (one green, one red) are rolled. Consider the following events. A: The red die shows 1. B: The numbers add to 4. C: At least one of the numbers is 1. D: The numbers do not add to 11. Express the following in symbols.
"Either numbers add to 11 or the red die shows 1".

A) $D ^ { \prime } \cap A$
B) $D ^ { \prime } \cup A ^ { \prime }$
C) $D \cup A$
D) $D \cup A ^ { \prime }$
E) $D ^ { \prime } \cup A$

Question

Suppose two dice (one green, one red) are rolled. Consider the following events. A: The red die shows 1. B: The numbers add to 4. C: At least one of the numbers is 1. D: The numbers do not add to 11. Express the following in symbols.  
"Either numbers add to 11 or the red die shows 1".
 
A) $D ^ { \prime } \cap A$
B) $D ^ { \prime } \cup A ^ { \prime }$
C) $D \cup A$
D)   $D \cup A ^ { \prime }$
E)   $D ^ { \prime } \cup A$

Quizplus · Accepted Answer

The correct expression for "Either numbers add to 11 or the red die shows 1" is $D ^ { \prime } \cup A$. $D ^ { \prime }$ represents the complement of D, meaning the numbers do add to 11, and $A$ represents the event where the red die shows 1. The use of $\cup$ indicates "or".

Suppose Two Dice (One Green, One Red) Are Rolled D′∩AD ^ { \prime } \cap AD′∩A

Suppose Two Dice (One Green, One Red) Are Rolled $D ^ { \prime } \cap A$