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

question 49

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 $P \left( A ^ { C } \cap B ^ { C } \right)$ .

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Definitions:

Administrative Department

A unit within an organization responsible for managing and providing support services and resources to facilitate operational activities.

Custodial Department

A division or department within an organization responsible for cleaning, maintenance, and upkeep of facilities.

Direct Method

A method of allocating service department costs directly to production departments without any intermediate allocation steps.

Personnel Department

is the department within an organization responsible for hiring, training, and managing employees, as well as dealing with personnel-related issues.