A certain game consists of rolling a single fair die and pays off as follows: $13 for a 6, $6 for a 5, $4 for a 4, and no payoff otherwise. Find the expected winnings for this game. The expected winning for this game are?

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A certain game consists of rolling a single fair die and pays off as follows: $13 for a 6, $6 for a 5, $4 for a 4, and no payoff otherwise. Find the expected winnings for this game. The expected winning for this game are?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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add and divide by 6
since you get each payoff with probability \(\frac{1}{6}\)
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