game of chance requires that the player select a strategy A, B, or C and then roll a six-sided fair die.  The payoffs are shown below.  The game costs $5 to play.   Roll of die: 1 2 3 4 5 6 Strat. A 10 -20 40 -5 -10 10 Strat. B -20 10 -10 -10 70 -5 Strat. C 10 -10 30 10 -40 30

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A game of chance requires that the player select a strategy A, B, or C and then roll a six-sided fair die.  The payoffs are shown below.  The game costs $5 to play.

 

Roll of die:

1

2

3

4

5

6

Strat. A

10

-20

40

-5

-10

10

Strat. B

-20

10

-10

-10

70

-5

Strat. C

10

-10

30

10

-40

30

 

  1. Should the person pay the $5 to play and, if so, which strategy should be selected?

 

  1. What is the expected value of perfect information about the outcome of this game?

 

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