A bag contains four pieces of paper, each labeled with one of the digits 1,2,3 or 4, with no repeats. Three of these pieces are drawn, one at a time without replacement, to construct a three-digit number. What is the probability that the three-digit number is a multiple of 3 ?
Answer Choices
A. \dfrac{1}{4}
B. \dfrac{1}{3}
C. \dfrac{1}{2}
D. \dfrac{2}{3}
E. \dfrac{3}{4}