Question

a certain game consists of rolling a single fair die and pays off as follows: $5 for a 6, $2 for a 5, $1 for a 4, and no payoff otherwise. find the expected winnings for this game.

Answer 1

E(winnings) = (5 x (1/6)) + (2 x (1/6) + (1 x (1/6)) = 5/6 + 2/6 + 1/6 = 8/6 = $1.33