You Roll a Pair of Fair Dice

question 101

Multiple Choice

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.

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Definitions:

Sample Statistic s

Calculated value (such as mean or standard deviation) from a sample of data, used to infer characteristics of the entire population.

Standard Error

A measure of the statistical accuracy of an estimate, calculated as the standard deviation of the sampling distribution of a statistic.

Probability Distribution

A function that describes the likelihood of different outcomes in an experiment.

Sample Mean

The average value of all the measurements in a sample, calculated by adding all the values and dividing by the number of observations.