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A game consists of rolling a die and pays off as follows: $5.00 for a 6, $3.00 for a 5, $2.00 for a 4, and no money otherwise. If it costs $2.00 to play, find the expected net winnings for a player of this game.

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average winning = ( 5+3+2 )/6 = 10/6
net = 10/6 - 2 = -0.33

The house wins, in the end :)

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