You roll a pair of dice. You bet $1 that you will get a 2,3, or 12. If you win, you are paid $9 (a profit of $8). Show that this is a fair game.

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You roll a pair of dice. You bet $1 that you will get a 2,3, or 12. If you win, you are paid $9 (a profit of $8). Show that this is a fair game.

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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the probability of getting 2,3, or 12 is 4/36, or 1/9, and the probability of NOT getting those numbers is 8/9 then, we calculate the expected value: (1/9)(8) + (8/9)(-1) = 0, and since the expected value is 0, this is a fair game
@Vocaloid thank you for your help

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