2010AMC12B, 16  Positive integers $$a$$, $$b$$, and $$c$$ are randomly and independently selected with replacement from the set $$ {1,2,3,\cdots ,2010  }$$. What is the probability that $$abc+ab+a$$ is divisible by $$3$$?   从集合$$ {1,2,3,\cdots ,2010  }$$中独立随机有放回地选取正整数$$a$$, $$b$$, 和$$c$$。$$abc+ab+a$$被$$3$$整除的概率是多少？
选项为:A:$$\frac{1}{3}$$  B:$$\frac{29}{81}$$  C:$$\frac{31}{81}$$  D:$$\frac{11}{27}$$  E:$$\frac{13}{27}$$  请回答其中一个选项.