STAT 2040 Lecture Notes - Lecture 4: Conditional Probability, Mutual Exclusivity, Sample Space
1 Apr 2015
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Document Summary
Frequentist interpretation- toss coins many times enough, prob would be (only apply to well-defined experiments) Bayesian interpretation- how likely an event is based on current knowledge. Simple event (sample points)- most basic outcome of exp. The simple events within a sample space are independent mutually exclusive but not enn diagram. Sample space- the set of all simple events. *if two events are independent, then their complements are also independent. If events a and b are disjoint, then they are also dependent. *mutually exclusive events are never independent, but dependent events are not always mutually exclusive. False if event a equals event b, then the probability of their intersection is 1. Conditional probability: (b has occurred, want to know p(a)) P(e|g) = p(e) (the knowledge that event g has occurred has not changed the probability of event e). eg. if then they are independent! The multiplication rule: intersection ) (to find prob of.
