The term "hidden variable theory" is used in the interpretation of quantum mechanics, it refers all types of theory that attempt to account for the probabilistic features of quantum mechanics by the mechanism of underlying inaccessible variables. A local hidden variable theory has the added requirement of being consistent with local realism, requiring that distant events be independent, ruling out instantaneous (i.e. faster-than-light) interactions between separate events. The mathematical implications of a local hidden variable theory in regard to the phenomenon of quantum entanglement were explored...