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A certain game consists of rolling a single fair die and pays off as​ follows: ​$7 for a​ 6, ​$6 for a​ 5, ​$3 for a​ 4, and no payoff otherwise. Find the expected winnings for this game.

A certain game consists of rolling a single fair die

and pays off as​ follows: ​$7 for a​ 6,

​$6 for a​ 5, ​$3 for a​ 4, and no payoff otherwise. Find the expected winnings for this game.

 
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