Epistemic odds of contextuality in cyclic systems

Beginning with the Bell theorem, cyclic systems of dichotomous random variables have been object many foundational findings in quantum mechanics. Here, we ask question: if one chooses a system "at random" (uniformly within hyperbox all possible given marginals), what are odds that it will be contextual? We show contextuality rapidly tend to zero as size increases. The result is based on Contextuality-by-Default theory, which do not assume subject no-disturbance/no-signaling constraints.