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

question 152

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:

Inborn Dispositions

Natural tendencies, traits, or characteristics that an individual possesses from birth, influencing behavior, preferences, and abilities.

Environmental Determinants

Factors in the environment that can influence an individual's health outcomes, including physical, chemical, biological, and social elements.

Men Age 18-24

Young adult males in this specific age range, often experiencing transitions in education, work, and social identity.

Heterosexual Parents

Parents who identify as being attracted to people of the opposite gender.