# A certain game consists of rolling a single fair die and pays off as​ follows:​\$88for a​ 6,​\$22for a​ 5,​\$11for a​ 4, and no payoff otherwise. Find the expected winnings for this game. The expected winnings for this game are​--.​(Round to the nearest​ hundredth.)

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A certain game consists of rolling a single fair die and pays off as​ follows:
​\$88
for a​ 6,
​\$22
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
​--.
​(Round to the nearest​ hundredth.)
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Step 1

Let xi denote the pay off for getting the number i on the fair die, then x6=\$88, x5=22, x4=\$11 , x3=x2=x1=0. We know that ...

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MathAlgebra