#### Event Title

#### Project Category

Chemistry and Physics

#### Presentation Type

Poster

#### Description

In this experiment, we will study the properties of entropy, multiplicity and probability using dice. We will roll 4 & 8 sided dice together and 4, 6, and 8 sided dice together for many trials and we will record the sum of the dice for each roll. We will then calculate each possible outcome’s expected multiplicity and probability of occurring. We can also predict each outcome’s expected entropy and compare these expected values of multiplicity and entropy to their actual values we found in this experiment. In doing so, we will be able to see the natural tendency of systems to always move towards the region of maximum multiplicity and entropy

#### Included in

Physics 223: Statistical Mechanics and Dice

In this experiment, we will study the properties of entropy, multiplicity and probability using dice. We will roll 4 & 8 sided dice together and 4, 6, and 8 sided dice together for many trials and we will record the sum of the dice for each roll. We will then calculate each possible outcome’s expected multiplicity and probability of occurring. We can also predict each outcome’s expected entropy and compare these expected values of multiplicity and entropy to their actual values we found in this experiment. In doing so, we will be able to see the natural tendency of systems to always move towards the region of maximum multiplicity and entropy