Probability — practice question

Rod $AB$ is non-uniform, with length $0.6\,\text{m}$ and weight $9\,\text{N}$, and its centre of mass is $0.4\,\text{m}$ from $A$. The rod’s end $A$ touches a rough vertical wall. It remains in equilibrium, at right angles to the wall, because of a light string fixed to $B$. The string is inclined at $30^{\circ}$ to the horizontal. The tension in the string is $T\,\text{N}$ (see diagram).