Hidden variables and quantum-mechanical probabilities for generalized spin-ssystems

We derive some generalized spin-$s$ Bell inequalities for a set of three distinct coplanar axes. Using a remarkable theorem due to Kronecker, we show that for at least 85.7% of the volume of the three-axis (coplanar) configuration space, the magnitude of violation of Bell inequalities vanishes approximately as $\frac{1}{s^2}$, far more slowly than the inequalities of Garg and Mermin.