Posted by **Lisa** on Tuesday, May 18, 2010 at 11:16am.

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?

- Math -
**drwls**, Tuesday, May 18, 2010 at 11:19am
Expected value = (1+2+3+4+5+6)/6 = 21/6 = 3.5

$3.50 is the break-even "fair" cost per roll.

- Math -
**Lisa**, Tuesday, May 18, 2010 at 11:50am
Thanks, I did not know what the "fair die" meant.

- Math -
**drwls**, Tuesday, May 18, 2010 at 4:02pm
A fair die is one that is not "loaded" or "shaved" to favor a particular side.

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