Welcome to Probability and Statistics is foundational course that bridges mathematical theory with real-world applications in data analysis and decision-making under uncertainty. This subject serves as the bedrock for fields ranging from machine learning and economics to engineering and scientific research. Throughout this semester, you will build a robust understanding of probability spaces, random variables, and statistical inference, progressing from basic principles to advanced concepts like the Central Limit Theorem and multivariate analysis. Through a blend of theoretical learning, practical exercises, and computational methods, this course aims not only to equip you with analytical tools but also to develop a probabilistic mindset essential for interpreting uncertainty in today’s data-driven world. Whether analyzing random phenomena or constructing confidence intervals, the skills acquired here will empower you to draw meaningful conclusions from data, test hypotheses rigorously, and solve complex problems across diverse domains. Prepare to engage deeply with both theory and application, as we explore the elegant mathematics of chance and the powerful methods of statistical reasoning.