Visibility problems are of interest in a wide variety of operations research and communications problems. This monograph presents an analysis of the "visibility" of one point in the plane from another given the existence of random objects which may obstruct the line of sight. The author aims to emphasize the practical issues involved and describes the algorithms discussed here. In addition, a (DOS) disk containing executable programs which implement these algorithms is provided. The author presupposes a basic familiarity with probability, statistics, and geometry, but otherwise the book is self-contained. As a result, researchers across a number of disciplines will find this account a valuable introduction to this problem.