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The ions attract each other and more likely to pair off exactly this way then they are to remain singleton. Assuming we had orginally had Cl and Na in aqueous solution where they do form ions.

If it is cold enough to solidfy the Cl, and you make a dust of the solid phase Cl and Na so fine it is one atom grains and then mixed the Na and Cl together and magically came up with a salt cube of 1 gram, gee willikers your probability would be correct. That's ignoring van der walls and non-ionic bondings which I'm not running over to a chemistry book to look up. Is there a single atom Cl, or single atom Na in a solid dust form? That sounds strange. Maybe in a mass spectrometer, "vapor" deposition or something like that. But then the "intelligent designer" is very much in play -- that being the physical chemist and his toys.

As to the relation to entropy, you'll have to explain that more carefully in a bit more detail, I don't quite catch it.

If you don't even know the role of probabilities in the structure of very simple chemical systems, like common salt, do you really think you should be making even crude estimates of probabilities of living organisms, which are far more complex?

The relationship between entropy and probability is S=k ln W (Boltzmann's equation). W is the number of possibilities; in the case of your coin, W = 2⁵⁰