A Pair of Fair Dice Is Tossed $A \cup B$

A)

question 177

Multiple Choice

A pair of fair dice is tossed. Events A and B are defined as follows.
A: {The sum of the numbers on the dice is 3}
B: {At least one of the dice shows a 2}

Identify the sample points in the event $A \cup B$ .

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

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Definitions:

Compensating Wage Differentials

Wage differences that compensate workers for risk, unpleasant working conditions, and other undesirable nonpecuniary aspects of a job.

Non-pecuniary Job Benefits

Non-pecuniary job benefits are perks or advantages of employment that do not involve direct monetary payment, such as a flexible working schedule or health insurance.

Employment Discrimination

Unfair treatment of employees or job applicants based on race, gender, age, religion, nationality, disability, or sexual orientation instead of job qualifications or performance.

Tournament Pay

A compensation structure where rewards are based on relative performance, often used in settings where output is hard to measure individually.