Many peoples think that they know the concept of entropy.
But, maybe they only know the 2nd law of thermodynamics.
The dynamics of system which must consider the entropy of
the system is determinde by free energy not by entropy.
The system is stabilized by minimizing free energy not by
maximizing entropy.
Only by calculating the probability that the system can be
composed, we cannot know whether the system will be possible
to exist.
Even in physical systems, there are many examples that
cannot be possible if we consider their probabilities.
Simply think about the perfect crystal whose entropy is zero.
This means crystal cannot be composed in real world, so
in fact there is no perfect crystal. But, we can make nearly
perfect crystal such as silicon (99.99999999%).
Not going to DNA, we have many examples which cannot be
understood only by the concept of entropy.
For most scientist, the more important is not the entropy but the
interaction between particles which compose the system, for
it is more difficult to determine than entropy in modelizing
and calculating the system.
For DNA and protein, I do not know the suitable conditions
for their compositions. Of course, in physics and inorganic
chemistry there are many examples which nature can make but
human cannot, then we must think that they are created by God?