STAT-2300 Lecture Notes - Lecture 1: Mutual Exclusivity, Sample Space
15 Mar 2018
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Document Summary
Complement of an even a consists of all outcomes in the sample space that are not in a. Probability of ac , p( ac) is the probability that the even a does not occur. Two events a and b are mutually exclusive (or disjoint) if they do not have any common outcomes. P(a and b)= 0, so p (a or b)=p(a)+p(b) Intersection: two events a and b consist of the outcomes in both a and b. Union: two events a and b consists of the outcomes that are in a or b, in probability, "a or b" denotes that a occurs or b occurs or both occur. P union of two events: p(a or b)=p(a)+p(b)- p(a and b) Independent: if knowing whether one event occurs does not affect the probability that the other event occurs. When independent: the probability of their intersection is easy to compute. Intersection of two independent events: p(a and b)= p(a) x p(b)
