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Hidden variables and quantum-mechanical probabilities for generalized spin-s systems.

We derive some generalized spin-{ital 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 1/{ital s}{sup 2}, far more slowly than the inequalities of Garg and Mermin.