H 1. Tony and Crystal are sitting around a rug watching darts randomly fall from the ceiling. The rug they are using is pictured above. If the dart lands on the white part of the rug, Crystal wins $5 from Tony. If it lands on the black part, Tony wins $3 from Crystal. Do you think this is a fair game? What is Tony's expected value for each turn? What's Crystal's? 2. If you think the game is not fair to one of the players, change the amount of money they each win in order to make the game fair. (Don't change the rug.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 9CC: a Suppose that a game gives payouts a1,a2,...,an with probabilities p1,p2,...pn. What is the...
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1. Tony and Crystal are sitting around a rug watching darts randomly fall from
the ceiling.
The rug they are using is pictured above.
If the dart lands on the white part of the rug, Crystal wins $5 from Tony. If it
lands on the black part, Tony wins $3 from Crystal.
Do you think this is a fair game? What is Tony's expected value for each turn?
What's Crystal's?
2. If you think the game is not fair to one of the players, change the amount of
money they each win in order to make the game fair. (Don't change the rug.)
Transcribed Image Text:1. Tony and Crystal are sitting around a rug watching darts randomly fall from the ceiling. The rug they are using is pictured above. If the dart lands on the white part of the rug, Crystal wins $5 from Tony. If it lands on the black part, Tony wins $3 from Crystal. Do you think this is a fair game? What is Tony's expected value for each turn? What's Crystal's? 2. If you think the game is not fair to one of the players, change the amount of money they each win in order to make the game fair. (Don't change the rug.)
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