Let $ \overrightarrow{a},\overrightarrow{b}$ and $\overrightarrow{c}$ be three non- zero vectors Such that no two of them are collinear 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 vactors $\overrightarrow{b}$ and $\overrightarrow{c}$ then a value of $\sin \theta$ is :

Question

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