Probability that next breath contains a molecule


Assignment:

Take a deep breath of air and assume it is one liter of air. What is the probability that the liter of air contains a molecule from Julius Caesar's last breath (also assume a liter of air)? Assume that the nitrogen that existed in the atmosphere ~ 2000 years ago is that which is currently present and that the liter of air has had a chance to randomly distribute in the atmosphere in the last 2000 years. Show calculations.

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