COMM 104 Lecture Notes - Lecture 3: Mutual Exclusivity, Sample Space, Conditional Probability
Document Summary
An experiment is any process of observation with an uncertain outcome. The possible outcomes for an experiment are called the experimental outcomes. Probability is a measure of the chance that an experimental outcome will occur when an experiment is carried out. If e is an experimental outcome, then p(e) denotes the probability that e will occur and: Conditions: 0 p(e) 1 such that: If e can never occur, then p(e) = 0. If e is certain to occur, then p(e) = 1: the probabilities of all the experimental outcomes must sum to 1. Classical method: for equally likely outcomes. Relative frequency: in the long run. Subjective: assessment based on experience, expertise, or intuition. Classical method: all the experimental outcomes are equally likely to occur, example: tossing a fair coin. Two outcomes: head (h) and tail (t) If the coin is fair, then h and t are equally likely to occur any time the coin is tossed.