Let $$\omega$$ be a complex cube root of unity with $$\omega\neq1$$. A fair die is thrownthree times. If $$r_{1},r_{2}$$ and $$r_{3}$$ are the numbers obtained on the die, then the probability that is $$\omega^{r_{1}}+\omega^{r_{2}}+\omega^{r_{3}}=0$$

A

$$\frac{1}{18}$$

B

$$\frac{1}{9}$$

C

$$\frac{2}{9}$$

D

$$\frac{1}{36}$$