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A game is played with the following rules. Two ordinary number cubes, each with six sides labeled 1 to 6, are rolled. After each roll a player is given a certain number of points depending on the outcome.
If the sum is 2 or 12, the player receives +6 points
If the sum is 3 or 11, the player receives +2 points.
If the sum is any other number, the player receives –1 point.
What is the expected value of the number of points a player will receive after a roll?

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