Question: Two fair dice, one red and one blue, are rolled, and a fair coin is tossed. If a head is obtained on the coin toss,

Two fair dice, one red and one blue, are rolled, and a fair coin is tossed. If a head is obtained on the coin toss, then a player wins the sum of the scores on the two dice. It a tail is obtained on the coin toss, then the player wins the score on the red die. What are the expected winnings?

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