A player chooses one of the numbers through . After the choice has been made, two regular four-sided (tetrahedral) dice are rolled, with the sides of the dice numbered through If the number chosen appears on the bottom of exactly one die after it has been rolled, then the player wins dollar. If the number chosen appears on the bottom of both of the dice, then the player wins dollars. If the number chosen does not appear on the bottom of either of the dice, the player loses dollar. What is the expected return to the player, in dollars, for one roll of the dice?
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