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Considering as distance between two two-party correlations the minimum number of half local results one party must toggle in order to turn one correlation into the other, we show that the volume of the set of physically obtainable correlations in the Einstein-Podolsky-Rosen-Bell scenario is (3π∕8)²≈1.388 larger than the volume of the set of correlations obtainable in local deterministic or probabilistic hidden-variable theories, but is only 3π²∕32≈0.925 of the volume allowed by arbitrary causal (i.e., no-signaling) theories.
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Adán Cabello (2005) studied this question.
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