Probability and Optimization for Engineers covers the fundamentals of probabilistic design and optimum design and methods for high performance design. It presents the principle of finite element method in probabilistic and optimum design with solved specific interactive problems of finite element analysis using ANSYS. It explains artificial intelligence for optimum design using AI algorithms including machine learning, deep learning, artificial neural networks, Bayesian optimum design, Bayesian machine learning optimization, and genetic algorithms.  Probabilistic and optimum design course with easy, visual, and applied methods. Solved examples, assignments, problems and tutorials. Educational resource for engineering students and for practicing engineers.