CMPSC 165A Lecture Notes - Lecture 3: Conditional Probability, Joint Probability Distribution, Sample Space
Document Summary
Search and planning = finding action sequences that achieve the agent"s goal. Utility function = specifies degree of usefulness (happiness) Deterministic process = outcome can be predicted exactly in advance. Random process = outcome is not known exactly, but we can still describe the probability distribution of possible outcomes the probability distribution of possible outcomes. Event = an outcome or a set of outcomes of a random process () = probability of event. Probability rule 1: 0 () 1 for any event. Sample space of a random process is the set of all possible outcomes. Complements 3 of an edvent is the event that does not occur. Probability rule 3: (3) = 1 () Union of two events and is the event that either or occur. Intersection of two events and is the event that both and occur. Two events are disjoint if they cannot happen at the same time.