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?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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?

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