Let $\overrightarrow{a},\overrightarrow{b}$ and $\overrightarrow{c}$ be three are col linear and $(\overrightarrow{a} \times \overrightarrow{b}) \times \overrightarrow{c}= \large\frac{1}{3} |\overrightarrow{b}||\overrightarrow{c}|\overrightarrow{a}$. If $\theta$ is the angle between vectors $\overrightarrow{b}$ and $\overrightarrow{c}$, then a value of $\sin \theta$ is :

Question

$\begin{array}{1 1} \frac{2}{3} \\ \frac{-2 \sqrt 3}{3} \\ \frac{2 \sqrt 2}{3} \\ \frac{-\sqrt 2}{3} \end{array} $