The Mole
A mole is defined as the quantity of a substance that has the same number of particles as are found in 12.000 grams of carbon-12. This number, Avogadro’s number, is 6.022x10^23. The mass in grams of one mole of a compound is equal to the molecular weight of the compound in atomic mass units. One mole of a compound contains 6.022x109^23 molecules of the compound. The mass of 1 mole of a compound is called its molar weight or molar mass. The units for molar weight or molar mass are grams per mole.
You can treat the individual molecules similarly because the actual sample size is enormous. I will accept statistical conclusions with this many samples any time!
Your Monte Carlo was 10^4 versus 10^23. Oh, yours is a simulation, my chemistry is OBSERVATION.
Sorry, but I have a pretty long background in Chemistry and research.
Under what temperature and pressure conditions is 1 mole or 6.022x109^23 molecules of a compound set?
We are talking High School or Freshman College Chemistry are we not?
And by the way A Monte Carlo run of 10,000 cycles could very well be ten times as many cycles. But you miss the point completely. Answer the basic question above.