SOLUTION: A certain game consists of rolling a single fair die and pays off as​ follows: ​$5 for a​ 6, ​$3 for a​ 5, ​$1 for a​ 4, and no payoff otherwise. Find the expected wi

Algebra ->  Probability-and-statistics -> SOLUTION: A certain game consists of rolling a single fair die and pays off as​ follows: ​$5 for a​ 6, ​$3 for a​ 5, ​$1 for a​ 4, and no payoff otherwise. Find the expected wi      Log On


   



Question 1164165: A certain game consists of rolling a single fair die and pays off as​ follows: ​$5 for a​ 6, ​$3 for a​ 5, ​$1 for a​ 4, and no payoff otherwise. Find the expected winnings for this game.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
probability for each of the numbers is 1/6
E(X)=SUM {x*(p(x)}
=5(1/6)+3(1/6)+1(1/6) units dollars
=$9/6 or $1.50