ABSTRACT
This chapter illustrate the principles that one need by concocting a class of problems involving die rolls and coin flips instead of molecules. The chapter shows that expressing the entropy instead in terms of a set of probabilities. Boltzmann's constant k puts entropy into units that interconvert with energy for thermodynamics and molecular science. k is the entropy per particle. The entropy is a function of a set of probabilities. Entropy is a concept that is broader than molecular science; it applies to any type of probability distribution function. For other types of probability distributions, k is chosen to suit the purposes at hand. We can apply the principle that systems tend to their states of maximum entropy to show that probabilistic systems will tend toward flat probability distributions when there are no constraints. Roll an unbiased t-sided die many times. The probabilities must sum to one.
