A machine produces 0, 1 or 2 defective pieces in a day with associated probability of $$\frac{1}{6},\,\frac{2}{3}$$  and $$\frac{1}{6}$$ respectively. The mean value and the variance of the number of defective pieces produced by the machine in a day, respectively, are

A. 1 and $$\frac{1}{3}$$

B. $$\frac{1}{3}$$ and 1

C. 1 and $$\frac{4}{3}$$

D. $$\frac{1}{3}$$ and $$\frac{4}{3}$$

Answer: Option A