Solve the Problem $( 3,1 ) , ( 3,2 ) , ( 3,4 ) , ( 3,5 ) , ( 3,6 ) , ( 1,3 ) , ( 2,3 ) , ( 4,3 ) , ( 5,3 ) , ( 6,3 )$

question 223

Multiple Choice

Solve the problem.
-Use a tree diagram showing all possible results when a die is rolled twice to list the ways of getting At least one die showing a 3.

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

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Definitions:

Nonexcludable

describes a good or service that cannot be withheld from individuals who do not pay for it, characteristic of public goods.

Free Riders

Individuals who benefit from resources, goods, or services without paying for them, relying on others to bear the cost.

Private Firm

A business owned by private individuals or groups, not controlled by the government, and operated for profit.

Public Goods

Goods that are non-excludable and non-rivalrous, meaning they are accessible to all and one person's use does not diminish another's.