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?

3 answers

Expected value = (1+2+3+4+5+6)/6 = 21/6 = 3.5

$3.50 is the break-even "fair" cost per roll.
Thanks, I did not know what the "fair die" meant.
A fair die is one that is not "loaded" or "shaved" to favor a particular side.