Now that we are used to large numbers, let's try to calculate the multiplicity of an ideal gas. In order to do so, we'll need to rely a little bit on Quantum Mechanics as well as calculate the surface area of a hypersphere. The end result points us to the same conclusion: The most likely case is extremely likely, and deviations are absolutely tiny.
Playlist: • An Introduction to Thermal Physics by...
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The textbook I am using is: Schroeder, Daniel V. "An Introduction to Thermal Physics" 1st ed., Addison Wesley Longman, 2005.