Part I: Quantum and Classical Probability Chapter 1: Quantum Mechanics: Postulates and Interpretations 1.1 Quantum Mechanics 1.1.1 Mathematical Basis 1.1.2 Postulates 1.2 Projection Postulate, Collapse of Wave Function, Schr\'odinger's Cat 1.2.1 Von Neumann's Projection Postulate 1.2.2 Collapse of Wave Function 1.2.3 Schr\'odinger's Cat 1.2.4 L\'uders Projection Postulate 1.3 Statistical Mixtures 1.4 Von Neumann's and L\'uders' Postulates for Mixed...