  Calculations and mechanistic explanations for the probabilistic movement of
objects at the highly relevant cm length scales has been lacking and overlooked
due to the complexity of current techniques. Predicting the final-configuration
probability of flipping cars for example remains extremely challenging. In this
paper we introduce new statistical methodologies to solve these challenging
macroscopic problems. Boltzmann's principles in statistical mechanics have been
well recognized for a century for their usefulness in explaining thermodynamic
properties of matter in gas, liquid and solid phases. Studied systems usually
involve a large number of particles at the atomic scales. However, it is
unusual for Boltzmann's principles to be applied to individual objects at
centimeter to human-size length scales. We show that the concept of statistical
mechanics still holds for describing the probability of a tossed dice landing
on a particular face. For regular dice, the one in six probability that the
dice land on each face is well known. In the case of orthorhombic dice, this
symmetry is broken and hence we need new tools to predict the probability of
landing on each face. We propose a new method based on Boltzmann's principles
which uses synthetic temperature term. Surprisingly, this approach requires
only the dimensions of the thrown object for calculating potential energy as
the input, with no other fitting parameters needed. The statistical predictions
for landing fit well to experimental data of over fifty-thousand samplings of
dice in 23 different dimensions. We believe that the ability to predict, in a
simple and tractable manner, the outcomes of macroscopic movement of large
scale probabilistic phenomena opens up a new line of approach for explaining
many phenomena in the critical centimeter length scale.
