The vast fields of science and engineering are closely related because engineering uses science to create the new technology, which in turn helps the subject to grow and discover new scientific facts. Engineering employs elements of mathematics, social knowledge, science and economics to design, invent, create, build and maintain best scientific solutions to problems. Science then uses these machines, hardware, software, etc. to discover and prove new facts and truths about the universe. The various sub-fields of science and technology with respect to probability, along with technological progress that have future implications are glanced at in this book. It includes different approaches, evaluations and methodologies on the applications of probability in science and engineering. This textbook attempts to assist those with a goal of delving into this field.