A mint produces 100,000 coins. Upon weighing some of them with a precise scale, officials find that the coins vary slightly in weight, with an independent uncertainty of 1 \%. About how many coins must be randomly sampled and weighed in order to determine the total weight of the coins to within 0.1 \% uncertainty? Assume there are no sources of systematic uncertainty.
Answer Choices
A. Almost all of the coins must be weighed.
B. 10,000
C. 1,000
D. 100 \leftarrow CORRECT
E. 10