A Single Die Is Rolled Twice $\frac { 1 } { 12 }$

question 56

Multiple Choice

A single die is rolled twice. The set of 36 equally likely outcomes is [(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) } . Find the probability of getting two numbers
whose sum is greater than 10 .

• A) \(\frac { 1 } { 12 }\)
• B) \(\frac { 5 } { 18 }\)
• C) \(\frac { 1 } { 18 }\)
• D) 3

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Definitions:

Profit-Maximizing Level

The optimal point at which the difference between total revenue and total cost is the greatest, indicating the highest possible profit for a firm.

Short Run

a period in economics during which at least one input is fixed and cannot be changed, limiting a firm's ability to adjust production.

Fixed Costs

Expenses that do not change in proportion to the activities of a business within a certain range of operation, such as rent, salaries, and insurance.

Monopolistically Competitive

A market structure where many firms sell products that are similar but slightly differentiated, allowing them some control over pricing.