A certain game involves tossing 3 fair coins, and it pays 23¢ for 3 heads, 10¢ for 2 heads, and 2¢ for 1 head. Is 10e a fair price to pay to play this game? That is, does the 10¢ cost to play make the game fair? The 10¢ cost to play a fair price to pay because the expected winnings are (Type an integer or a fraction. Simplify your answer.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 61E
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A certain game involves tossing 3 fair coins, and it pays 23¢ for 3 heads, 10¢ for 2 heads, and 2¢ for 1 head. Is 10¢ a fair price to pay to play this game? That is, does the 10¢ cost to play make the game fair?
The 10¢ cost to play
a fair price to pay because the expected winnings are
(Type an integer or a fraction. Simplify your answer.)
Transcribed Image Text:A certain game involves tossing 3 fair coins, and it pays 23¢ for 3 heads, 10¢ for 2 heads, and 2¢ for 1 head. Is 10¢ a fair price to pay to play this game? That is, does the 10¢ cost to play make the game fair? The 10¢ cost to play a fair price to pay because the expected winnings are (Type an integer or a fraction. Simplify your answer.)
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