A certain game involves tossing 3 fair coins, and it pays 14¢ for 3 heads, 7¢ for 2 heads, and 5¢ for 1 head. Is 7¢ a fair price to pay to play this game? That is, does the 7¢ cost to play make the game fair?

A certain game involves tossing 3 fair coins, and it pays 14¢ for 3 heads, 7¢ for 2 heads, and 5¢ for 1 head. Is 7¢ a fair price to pay to play this game? That is, does the 7¢ cost to play make the game fair?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.6: Permutations

Problem 33E

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Question

A certain game involves tossing 3 fair coins, and it pays

14¢

for 3 heads,

7¢

for 2 heads, and

5¢

for 1 head. Is

7¢

a fair price to pay to play this game? That is, does the

7¢

cost to play make the game fair?

(Type an integer or a fraction. Simplify your answer.)

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