What Is the Probability That in Three Consecutive Rolls of Two

question 188

Multiple Choice

What is the probability that in three consecutive rolls of two fair dice, a person gets a total of 7, followed by atotal of 11, followed by a total of 7? Round to the nearest ten-thousandth.

• A) 0.0015
• B) 0.1667
• C) 0.2876
• D) 0.0012

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Definitions:

Variance

A gauge for the extent of dispersion in a collection of data, derived by the average of squared differences relative to the mean.

Sample Mean

The average of all the data points in a sample set from a population.

Squared Deviations

The squares of the differences between each value in a set and the mean of the set, used in various statistical computations including variance.

Standard Deviation

An indicator that evaluates the degree of scatter or inconsistency in a dataset in relation to its mean.