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Two 4-sided dice are tossed and the sum of the down sides noted. A 4-sided die doesn't have an up face like a 6-sided die

Two 4-sided dice are tossed and the sum of the down sides noted. A 4-sided die doesn't have an "up" face like a 6-sided die has, so the down side is used. Determine the expected value of the sum. Provide evidence of your work by typing out your full solution.

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