Purchase Solution

Probabilities of a multi facets dice

Not what you're looking for?

Ask Custom Question

An octahedron is a three dimensional shape with eight sides that are equilateral triangles. This shape is used as a die in games such as Dungeons and Dragons because all eight sides come up with equal probability.

A. Assuming the sides are numbered 1 through 8, and a person throws two octahedral dice, what are the possible sums? ( Explain your answer)

B. Which sum has the highest probability? What is this probability? (Explain your answer).

Purchase this Solution
Solution Summary

The solution determines the probabilities of a multi facets dice.

Solution Preview

The minimum value of each die is 1, therefore the minimum value of the sum of two dice rolled together is 1+1=2.
The maximum value of each die is 8, therefore the maximum value of the sum of two dice rolled together is 8+8=16.

Thus:
The possible sums can be any integer between the numbers 2 and 16 (inclusive).

The most common sum will be 9, since it can utilize all the possible numbers.
For example ...

Purchase this Solution
Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

View More Free Quizzes
Related BrainMass Solutions

  • Frequencies of Dice Roll Combinations and Probabilities of Dice Rolls

    43720 Frequencies of Dice Roll Combinations and Probabilities of Dice Rolls When a pair of dice is rolled, the total will range from 2 (1,1) to 12 (6,6).

  • Probabilities

    Let X denote the player's gain in a single play of this game, and assume the dice are fair. Determine the probability function of X. Please see the attached file. Probabilities are presented.

  • Simulation-Dice Rolls in Excel

    Model 2: Simulate a combined roll of two dice, giving a number from 2 through 12 with appropriate probabilities. Model 1 Excel was used to generate integer random numbers from 1 to 6 inclusive, to simulate rolls of both the first and second die.

  • Computing Probabilities With Probability Theory

    You are rolling a pair of dice, one red and one green.

  • Calculating probabilities for the dice game called "craps"

    13095 The solution gives an intuitive approach to probability problems involving dice. The technique is illustrated by calculating probabilities for the game of "craps". A popular dice game, called "craps," is played in the following manner.

  • Determine the following probabilities.

    Four (standard) dice (cubes with 1,2,3,4,5,6 respectively,dots on their six faces) each of a different color are tossed each landing with one of its faces up, thereby showing a number of dots. Determine the following probabilities.

  • Probability with Dice.

    502230 Probability with Dice. Two fair dice are tossed, and the face on each die is observed. a. Use a tree diagram to find the 36 sample points contained in the same space. b. Assign probabilities to the sample points in part a. c.

  • Probability : Dice Roll Combinations

    Probabilities of Dice Roll Combinations are investigated. The solution is detailed and complete.

  • Dice probability

    A very good way to approach questions about dice probabilities is to create a table like the one below. Each row represents the outcome of die 1 and each column represents the outcome of die 2.

View More Related Solutions