The main purpose of this course is to help students be able to use and understand knowledge and use of probability, the science of uncertainty and data. Basic calculus skills about integration, differentiation, limits and functions are required for some topics in this course. Topics covered in this course include: basic concepts of probability; conditional probability; discrete and continuous random variables; expectation and variance; Joint Distribution; Conditional distributions, covariance and correlation coefficient, conditional expectations; Limit Theorems.