SOLUTION: A person spins the pointer on a wheel and is awarded the amount indicated by the pointer. 1/2 of wheel is worth $2.00, 1/4 of wheel is worth $10.00, and 1/4 of wheel is worth $15.0
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Question 467395: A person spins the pointer on a wheel and is awarded the amount indicated by the pointer. 1/2 of wheel is worth $2.00, 1/4 of wheel is worth $10.00, and 1/4 of wheel is worth $15.00
It costs $8 to play the game.
Determine: The expectation of a person who plays the game.
The fair price to play the game.
Show your work for full credit.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Expectation = (1/2)*(2)+(1/4)*(10)+(1/4)*(15) - 8 = 7.25-8 = -0.75
This means that you expect to lose about 75 cents per game
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Determining Fair price:
Let x = price to play game
Fair price means expectation = 0
Expectation = (1/2)*(2)+(1/4)*(10)+(1/4)*(15) - x = 0
7.25 - x = 0
x = 7.25
Fair price = 7.25 dollars
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