SOLUTION: A player rolls a six-sided die and receives a number of dollars corresponding to the number of dots on the face that turns up. What amount should the player pay for rolling to make

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Question 1203806: A player rolls a six-sided die and receives a number of dollars corresponding to the number of dots on the face that turns up. What amount should the player pay for rolling to make this a fair game?
Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
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A player rolls a six-sided die and receives a number of dollars corresponding
to the number of dots on the face that turns up.
What amount should the player pay for rolling to make this a fair game?
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The expected winning amount is

    1%2A%281%2F6%29 + 2%2A%281%2F6%29 + 3%2A%281%2F6%29 + 4%2A%281%2F6%29 + 5%2A%281%2F6%29 + 6%2A%281%2F6%29 = %281%2B2%2B3%2B4%2B5%2B6%29%2F6 = 21%2F6 = 3.5 dollars.


Therefore, in order for the game be a fair game, the amount for a player to pay should be $3.50.    ANSWER

Solved.