Equilibrium state - statistical intuition

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paweld
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Can anyone give me some intuitive arguments about why
all the accessible microstates of the system are equally likely in equillibrium
state.
 
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I guess there isn't an argument. If in probability theory you don't know the distribution (like the probability of a price behind one of three doors), then you assume equal distribution.

In all cases where microstates are not equally distributed you simply cannot apply entropy that way.

So in a way entropy is restricted to completely random and homogeneous systems like gases unless you find a way to define microstates with equal probabilities.