Final answer:
The method described is a completely random method, known as simple random sampling, which means it is fair in terms of probability.
Step-by-step explanation:
In terms of probability, the method described is a completely random method, known as simple random sampling. This means that each date has an equal chance of being drawn from the barrel, and therefore each individual has an equal chance of being drafted into the military.
Therefore, the method is fair in terms of probability.