This explores the potential discovery of petroleum hydrocarbons in sedimentary rocks or magmatic hydrothermal formations, involving a probability factor. A mathematical modeling approach is employed to assess petroleum hydrocarbons, considering specific elements, minerals, and rocks, determining whether they are of biogenic or abiogenic origin. Utilizing set notation and matrix approach to analyze these elements, three possibilities were formulated to trace the origin of petroleum hydrocarbons: sedimentary origin (biogenic), igneous origin (biogenic), or igneous origin (abiogenic)....