The Game of Dungeons and Dragons Uses Nonstandard Dice $\frac { 7 } { 64 }$

question 77

Multiple Choice

The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked 1, 2, 3, 4, 5, 6, 7, and 8. (In this problem, "an eight" refers to rolling an eight on either or both dice, while "a total of eight" refers to the sum on the two dice.) List the sample space for yourself in order to answer the following question. What is the probability of rolling exactly one seven with two such dice?

• A) \(\frac { 7 } { 64 }\)
• B) \(\frac { 5 } { 64 }\)
• C) \(\frac { 7 } { 32 }\)
• D) \(\frac{1}{8}\)
• E) \(\frac { 3 } { 64 }\)

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Definitions:

Lag Time

The delay between tasks that have a dependency, where one task cannot start until a certain period after the previous task has finished.

Gantt Chart

A visual tool for project planning that displays activities against time, often used for tracking project schedules.

Total Float

The amount of time that a project task can be delayed without causing a delay to the project's overall completion date.

Binomial Probability

The probability of obtaining a given number of successes in a fixed number of binary trials, where each trial has two possible outcomes.