This paper is another attempt to demystify the underlying dynamics of police corruption, focusing on the how the police are always exposed to the risk of being corrupt because of the nature of their work. The model describes the exposure cycles (vulnerability to corrupt tendencies), their probability distribution, their main framework (phases in the cycles), and attempt to link the practical aspects of police work to the mathematical results. Employing the law of parsimony, this study makes reasonable assumptions and applies generic mathematical techniques as part of the methodology. Part of the results include a quadratic representation of the intensity of the risk factors, and a tabulated depiction of the phases in an exposure cycle amongst other propositions. The study further exposes the immeasurable nature of corruption, which concur with other previous findings.