This book offers a clear, systematic introduction to core mathematical concepts. The text covers varied topics such as probability theory, random variables, probability distributions, random processes, queueing theory and statistical inference. With refined explanations and consistent notation, this book builds both conceptual understanding and problem-solving proficiency. It is an ideal resource for university examinations and competitive tests. It would be useful for students seeking a solid foundation for advanced studies in statistics, data science, machine learning, operations research, and related disciplines