Sum obtained by rolling all 6 dice

What is the expected value of the sum obtained by rolling all 6 dice?

Early studies were conducted by the Italian mathematician Girolamo Cardona (1501-1576). One of the many dice games that Cardona studied
was played with six 6-sided dice. Each of these six dice had five blank faces and one face with a number. The numbers 1 through 6 each appeared on one of the six dice. All 6 dice were rolled at once, and the payoff to the gambler was based on the sum of the numbers showing on the up faces.

Question posted by: sweetlilac89

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