  As part of a challenge to critics of Bell's analysis of the EPR argument,
framed in the form of a bet, R. D. Gill formulated criteria to assure that all
non-locality is precluded from simulation-algorithms used to test Bell's
theorem. This is achieved in part by parceling out the subroutines for the
source and both detectors to three separate computers. He argues that, in light
of Bell's theorem, following these criteria absolutely precludes mimicking
EPR-B correlations as computed with Quantum Mechanics and observed in
experiments. Herein, nevertheless, we describe just such an local algorithm,
fully faithful to his criteria, that yields results mimicking exactly quantum
correlations. We observe that our simulation-algorithm succeeds by altering an
implicit assumption made by Bell to the equivalent effect that the source of
EPR pairs is a single Poisson process followed by deterministic detection.
Instead we assume the converse, namely that the source is deterministic but
detection involves multiple, independent Poisson processes, one at each
detector with an intensity given by Malus' Law. Finally, we speculate on some
consequences this might have for quantum computing algorithms.
