A game consists of rolling a colored die with 3 red sides, 2 green sides, and one blue side. A roll of a red loses. A roll of a green pays $3.00. A roll of blue pays $8.00. The charge to play the game is $3.00. Would you play the game? Why or why not? O Yes you should play. On any given roll the cost to play exceeds the amount you are expected to win. Yes you should play. On any given roll your expected value exceeds the amount that it cost to play the game. O No you should not play. On any given roll the cost to play exceeds the amount you are expected to win. O No you should not play. On any given roll your expected value exceeds the amount that it cost to play the game. O Yes you should play. You have a chance to win $8 and you only had to pay $2 to play.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A game consists of rolling a colored die with 3 red sides, 2 green sides, and one blue side. A roll of a red
loses. A roll of a green pays $3.00. A roll of blue pays $8.00. The charge to play the game is $3.00. Would
you play the game? Why or why not?
Yes you should play. On any given roll the cost to play exceeds the amount you are
expected to win.
Yes you should play. On any given roll your expected value exceeds the amount that it
cost to play the game.
O No you should not play. On any given roll the cost to play exceeds the amount you are
expected to win,
O No you should not play. On any given roll your expected value exceeds the amount that it
cost to play the game.
O Yes you should play. You have a chance to win $8 and you only had to pay $2 to play.
Transcribed Image Text:A game consists of rolling a colored die with 3 red sides, 2 green sides, and one blue side. A roll of a red loses. A roll of a green pays $3.00. A roll of blue pays $8.00. The charge to play the game is $3.00. Would you play the game? Why or why not? Yes you should play. On any given roll the cost to play exceeds the amount you are expected to win. Yes you should play. On any given roll your expected value exceeds the amount that it cost to play the game. O No you should not play. On any given roll the cost to play exceeds the amount you are expected to win, O No you should not play. On any given roll your expected value exceeds the amount that it cost to play the game. O Yes you should play. You have a chance to win $8 and you only had to pay $2 to play.
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