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You Roll a Pair of Fair Dice

question 101

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You roll a pair of fair dice.If you get a sum greater than 10 you win $50.If you get a double you win $40.If you get a double and a sum greater than 10 you win $90.Otherwise you win nothing.
Create a probability model for the amount you win at this game.


Definitions:

Optimal Level

The most favorable point at which the benefits of an action exceed its costs the most, often related to production or consumption.

Production

The process of creating goods and services through the combination of labor, materials, and technology.

Pizza

A popular Italian dish made of dough topped with tomatoes, cheese, and often various other ingredients, baked together.

Marginal Benefit

The additional satisfaction or utility received by consuming one more unit of a good or service.

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