After paying ​$2 to​ play, a single fair die isa single fair die is ​rolled, and you are paid back the number of dollars corresponding to the numberthe number of dots facing up. For​ example, if aa 3 turns​ up, ​$3 is returned to you for a net​ gain, or​ payoff, of​ $1, if aa 1 turns​ up, ​$1 is returned for a net gain of minus−​$1, and so on. What is the expected value of the​ game? Is the game​ fair?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
icon
Related questions
Question

After paying

​$2

to​ play,

a single fair die isa single fair die is

​rolled, and you are paid back the number of dollars corresponding to

the numberthe number

of dots facing up. For​ example, if

aa
3

turns​ up,

​$3
is returned to you for a net​ gain, or​ payoff, of​ $1, if
aa
1

turns​ up,

​$1

is returned for a net gain of

minus−​$1,

and so on. What is the expected value of the​ game? Is the game​ fair?

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning