A certain game involves tossing 3 fair coins, and it pays 8¢ for 3 heads, 3¢ for 2 heads, and 1¢ for 1 head. Is 3¢ a fair price to pay to play this game? That is, does the 3¢ cost to play make the game fair? What are the expected winnings for this game in cents?

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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A certain game involves tossing 3 fair coins, and it pays 8¢ for 3 heads, 3¢ for 2 heads, and 1¢ for 1 head. Is 3¢ a fair price to pay to play this game? That is, does the 3¢ cost to play make the game fair? What are the expected winnings for this game in cents? 

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