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In a game of dice, two dice are rolled and based on their sum a score is recorded. If the sum is not a prime

In a game of dice, two dice are rolled and based on their sum a score is recorded. If the sum is not a prime number, then the score is this sum. If the sum of the dice is a prime number, the score is 0. Find the expected score in this game. Give your answer either as a fraction in fully simplified form or as a decimal rounded to 3 significant figures

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