Wikipedia - Second law of thermodynamics:
...the entropy of any closed system not in thermal equilibrium almost always increases.
I understand that the second law of thermodynamics is based on the statistical unlikelihood of fast-moving molecules to aggregate.
However, if it is only "almost always" then why is the phenomenon stated as a law?
Is it because we have not yet observed the unlikely aggregation?
Answer
I think the author has used the word "almost" to incorporate the possibility that $ \Delta S $ can be equal to zero also. As the exact statement of second law of thermodynamics goes this way,
An isolated system evolves in such a way that $ \Delta S \geq 0 $.
This means that an isolated system should evolve in such a way that the multiplicity should remain same or increase.
For example, consider a simple system with two macrostates $A$ and $B$, with $4$ and $6$ microstates respectively. If we find the system in mactrostate $A$, it can evolve and remain in same state or can move to macrostate $B$. But, if we find the system initially in macrostate $B$, it will remain in macrostate $B$ and never trasits to macrostate $A$.
To my knowledge, no one knows why nature follows this rule!!!
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