When this concept is applied to a real world situation of many trillions of molecules, the difference in probability goes up as well. In fact, it turns out that the probability of getting nearly half of the molecules; in a real world situation; is so close to one as to make it a practical certainty.
When entropy is examined by Statistical Thermodynamics, it can be considered as a measure of randomness. The more random a system is, the more disordered it is. The formula for statistical entropy is:
S = k ln W
S is entropy.
k is the Boltzmann Constant = 1.38 X 10^{23} JL^{1}
W is the number of equivalent equally probable configurations.
W is a direct measurement of the disorder of the system.
This shows that entropy naturally tends to increase because disordered states are considerably more probable than ordered states. Further more since complex organized systems have vary few equivalent equally probable configurations, they are extremely improbable. Such that the statistical probability is so small (Probability << 10^{100}) that they statistically impossible.
This is why complex organized systems; such as life; can not arise by natural process. As a result no mater what just so story Evolutionists may invent to try to describe how it could happen, it simply can not happen.

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 Reference: J Philip Bromberg, Physical Chemistry, 1984, pg. 690
 Reference: Statistical thermodynamics
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