Vector Algebra

Let $\overrightarrow a ,\overrightarrow b$ and $\overrightarrow c$ be three non-zero vectors such that no two of them are collinear and $\left( {\overrightarrow a \times \overrightarrow b } \right) \times \overrightarrow c = {1 \over 3}\left| {\overrightarrow b } \right|\left| {\overrightarrow c } \right|\overrightarrow a .$ If $\theta$ is the angle between vectors $\overrightarrow b$ and ${\overrightarrow c }$ , then a value of sin $\theta$ is :