We got really cool results from the loaded dice!
Here is a video introducing how the Boltzmann factor and Partition function appear for a system in contact with a thermal reservoir, thus with constant (NVT), the so-called Canonical ensemble.
Here is a video showing that in the microcanonical (NVE) ensemble the entropy of the system is maximized and in the canonical (NVT) ensemble the Helmholtz free energy of the system is minimized.
This video shows that the general microscopic definition of entropy is valid for both (NVE) and (NVT)
Two short videos showing models in the canonical ensemble: the paramagnet and the ideal gas.
Here is a video about the Maxwell-Boltzmann speed distribution.