ACMS10145 Lecture Notes - Lecture 5: Mutual Exclusivity, Conditional Probability
28 Aug 2020
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Document Summary
Complement of an event: given an event a, the complement of a is the event consisting of all sample points that are not in a. All outcomes are within the rectangle (the sample size) Intersection of two events: given two events a and b, the intersection of a and b is the event containing the sample. Union of two events: the union of a and b is the event containing all the sample points belonging to a or b or both. Mutually exclusive events: two events if the events points that belong both to a and b. Mutually exclusive events: p(a b) = p(a)+p(b) no sample points in common. Conditional probability: the probability that an event a given that an event b has occurred. Independent events: two events a and b are said to be independent if any one of the following holds: All 3 are equivalent (only need one of these to verify independence)
