This document defines and provides examples of key concepts in probability and statistics, including: - Random experiments, sample spaces, events, and tree diagrams are introduced and examples are given. - Counting techniques like multiplication rules, permutations, and combinations are defined and applied to examples involving selecting components, locations, and objects. - Key terms are defined, such as mutually exclusive, complement, union, and intersection of events. Venn diagrams are also introduced. - Examples involve calculating the number of possible outcomes for experiments selecting parts, locations, designs, and samples. Formulas for permutations and combinations are applied.