Posted by **B.B.** on Monday, August 10, 2009 at 11:45am.

The game of dots is played by rolling a fair die and receiving $1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game?

Answer: The equally likely outcomes of each roll are receiving $6, $5, $4, $3, $2, or $1. I think the answer is $3.50 since you are equally likely to win more or less than the cost. That is 3 of 6 possible outcomes are a gain for 50% chance of a gain, and 3 of 6 or 50% are a loss.

Is this answered correctly?

Thanks.

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