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Recently an alternative way to quantify Bell nonlocality has been proposed[Phys. Rev. A {\bf 92}, 030101(R) (2015)]. In this work we further develop thisconcept, the volume of violation, and analytically calculate its value for thespin-singlet state with respect to the settings of the first Bell's inequality.These settings correspond to three directions in space, or three arbitrarypoints on the unit sphere. It is shown that the triples of directions that leadto violations in local causality correspond to $1/3$ of all possibleconfigurations. From the perspective of quantum communications, this means thattwo distant parties that were capable of align their measurements in onedirection only (the remaining direction in each site being random), have aprobability of about 33.3$\%$ to be able to certify their entanglement.

Analytic quantification of the singlet nonlocality for the first Bell's inequality