A Pair of Fair Dice Is Tossed $A ^ { C }$

Essay

A pair of fair dice is tossed. Events A and B are defined as follows.
A: {The two numbers rolled are different}
B: {At least one of the numbers is greater than 2} a. Identify the sample points in the event $A ^ { C }$ .
b. Identify the sample points in the event $B ^ { C }$ .
c. Identify the sample points in the event $A ^ { C } \cup B ^ { C }$ .
d. Identify the sample points in the event $A ^ { C } \cap B ^ { C }$ .
e. Find $P \left( A ^ { c } \cup B ^ { C } \right)$ .
f. Find $P \left( A ^ { C } \cap B ^ { C } \right)$ .