Suppose two dice (one green, one red) are rolled. Consider the following events. A: The red die shows 2. B: The numbers add to 6. C: At least one of the numbers is 2. D: The numbers do not add to 10. Express the given event in symbols.
"The numbers do not add to 6."

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

Question

Suppose two dice (one green, one red) are rolled. Consider the following events. A: The red die shows 2. B: The numbers add to 6. C: At least one of the numbers is 2. D: The numbers do not add to 10. Express the given event in symbols.  
"The numbers do not add to 6."
 
A) $B ^ { \prime } \cup D ^ { \prime }$
B) $D$
C) $B ^ { \prime } \cap D ^ { \prime }$
D) $\left( A ^ { \prime } \cup C ^ { \prime } \right) \cap B ^ { \prime }$
E) $B ^ { \prime }$

Quizplus · Accepted Answer

The event "The numbers do not add to 6" is the complement of event B, which is represented as $B ^ { \prime }$.

Suppose Two Dice (One Green, One Red) Are Rolled B′∪D′B ^ { \prime } \cup D ^ { \prime }B′∪D′

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