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Omni-MATH / Two fair octahedral dice, each with the numbers 1 through 8 on their faces, are…

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problem

Two fair octahedral dice, each with the numbers 1 through 8 on their faces, are rolled. Let NN be the remainder when the product of the numbers showing on the two dice is divided by 8. Find the expected value of NN.
Plain-text mathematical notation (without MathML)
Two fair octahedral dice, each with the numbers 1 through 8 on their faces, are rolled. Let N be the remainder when the product of the numbers showing on the two dice is divided by 8. Find the expected value of N.
Original LaTeX notation
Two fair octahedral dice, each with the numbers 1 through 8 on their faces, are rolled. Let $N$ be the remainder when the product of the numbers showing on the two dice is divided by 8. Find the expected value of $N$.

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