#### Poster or Presentation Title

The Dice Trials

#### Access Type

Open Access

#### Presentation Type

Poster Presentation

#### Start Date

April 2017

#### End Date

April 2017

#### Department

Mathematics

#### Abstract

In the following experiment, the fairness of dice from the dice companies Chessex, Game science and Crystal Caste were compared. In order to compare these levels of fairness the chi-squared test was used. The Null Hypothesis for this experiment stated that “This die is fair.” While the alternative hypothesis of this experiment stated “This die is unfair.” In order to prove either of these hypotheses, the chi-squared distributions for each dice had to be calculated along with the p-value for each die. This calculated p-value would then be compared to an alpha value found on the normal distribution table. If this value was less that then the null hypothesis was rejected and the alternative hypothesis was accepted, and the die would be dubbed unfair. If this value was greater than alpha, then the null hypothesis would be accepted, dubbing the die fair.

After the completion of the experiment, it will be clear which company has more fair dice. Currently the dice holding this title of fairest is Chessex, with Crystal Caste following behind. This information goes with trends found in past experiments. Such experimenters include Mark Fickett, and a blogger from Awesome Dice. This experiment was completed with the Jacob Fleck.

#### Faculty Mentor

Dr. D. Cline

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The Dice Trials

In the following experiment, the fairness of dice from the dice companies Chessex, Game science and Crystal Caste were compared. In order to compare these levels of fairness the chi-squared test was used. The Null Hypothesis for this experiment stated that “This die is fair.” While the alternative hypothesis of this experiment stated “This die is unfair.” In order to prove either of these hypotheses, the chi-squared distributions for each dice had to be calculated along with the p-value for each die. This calculated p-value would then be compared to an alpha value found on the normal distribution table. If this value was less that then the null hypothesis was rejected and the alternative hypothesis was accepted, and the die would be dubbed unfair. If this value was greater than alpha, then the null hypothesis would be accepted, dubbing the die fair.

After the completion of the experiment, it will be clear which company has more fair dice. Currently the dice holding this title of fairest is Chessex, with Crystal Caste following behind. This information goes with trends found in past experiments. Such experimenters include Mark Fickett, and a blogger from Awesome Dice. This experiment was completed with the Jacob Fleck.