The game of dots is played by rolling a fair die and

Question

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 1

You can get 1, 2, 3, 4, 5, or 6, with equal probability of getting any number, so the median/mean value would be the best choice. Can you calculate that?