a certain game consists of rolling a single fair die and pay

a certain game consists of rolling a single fair die and pays off as follows: $8 for a 6, $3 for a 5, $11 for a 4, and no payoff otherwise. Find the expected winnings for this game.
The expected winnings for this game are $ nothing.
(Round to the nearest hundredth.)

Expected winning is :Sum (Payoff of an outcome * P(outcome))

=8*P(6)+3*P(5)+11*P(4)+0*(P(3)+P(2)+P(1))=(8+3+11)/6=22/6=11/3