Review of Probability Theory 3 2 Random Variables

1 Basic Probability Probability theory begins with three basic components. The set of all possible outcomes, denoted Ω. The collection of all sets of outcomes (events), denoted A. And a probability measure P. Specification of the triple (Ω,A,P) defines the probability space which models a real-world measurement or experimental process. Example 1 Ω = {all outcomes of the roll of a die} = {1, 2, 3, 4, 5, 6}