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A certain game consists of rolling a single fair die and pays off asfollows: $6 for a6, $5 for a5, $1 for a4, and no

A certain game consists of rolling a single fair die and pays off asfollows: $6 for a6, $5 for a5, $1 for a4, and no payoff otherwise. Find the expected winnings for this game.

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