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The first three angle differences have cosine $1/\sqrt{2}$, while the fourth has cosine $-1/\sqrt{2}$. The first three winning conditions require agreement and the fourth requires disagreement. Each consequently succeeds with the same probabilityUniform independent selection of the four setting pairs gives this same average. Equivalently the CHSH inequality expression is $E_{11}+E_{12}+E_{21}-E_{22}=2\sqrt{2}$, attaining the CHSH Tsirelson bound.

A bound on the correlations attainable by measurement in quantum measurements for a specified Bell expression. The CHSH Tsirelson bound is $2\sqrt{2}$; the number depends on which Bell expression is being optimized.