An Experiment Consists of Casting a Pair of Dice and Observing

question 48

Multiple Choice

An experiment consists of casting a pair of dice and observing the number that falls uppermost on each die. We may represent each outcome of the experiment by an ordered pair of numbers, the first representing the number that appears uppermost on the first die and the second representing the number that appears uppermost on the second die. Consider the sample space S = {(1, 1) , (1, 2) , (1, 3) , (1, 4) , (1, 5) , (1, 6) ,
(2, 1) , (2, 2) , (2, 3) , (2, 4) , (2, 5) , (2, 6) ,
(3, 1) , (3, 2) , (3, 3) , (3, 4) , (3, 5) , (3, 6) ,
(4, 1) , (4, 2) , (4, 3) , (4, 4) , (4, 5) , (4, 6) ,
(5, 1) , (5, 2) , (5, 3) , (5, 4) , (5, 5) , (5, 6) ,
(6, 1) , (6, 2) , (6, 3) , (6, 4) , (6, 5) , (6, 6) }
Determine the event that the number that falls uppermost on the second die is double that of the number that falls on the first die.

• A) {(1, 2), (2, 4), (3, 6)}
• B) {(3, 1), (2, 6), (4, 4)}
• C) {(1, 1), (2, 1), (1, 6)}
• D) {(1, 2), (5, 3), (6, 6)}

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Definitions:

Sociological Criticism

Analyzing and critiquing social phenomena from a sociological perspective, often questioning underlying societal norms and structures.

Oligarchy

Means “rule of the few.” All bureaucracies have a supposed tendency for power to become increasingly concentrated in the hands of a few people at the top of the organizational pyramid.

Social Network

A structure made up of individuals or organizations that are connected by one or more specific types of interdependency, such as friendship, kinship, common interest, or relationships of beliefs, knowledge, or prestige.

Emotional Resources

Emotional resources are the internal assets, such as resilience, optimism, and emotional intelligence, that individuals draw upon to manage stress and challenges.