MATH 1610 Lecture Notes - Lecture 5: Empty Set, Set Function, Mutual Exclusivity
9 Dec 2014
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S: sure event always occurs : the empty set. Given two subsets of s a and b numerous subsets can occur with a and b. A b = a and b are mutually exclusive. = complement of event a, or not a = 1-a. A probability also called probability measure is a set function p associated to every event. A of s one and only are real numbers denoted by p(a) fulfilling the following properties taken as axioms. A probability is a function between 0 and 1. Starting with a subset and associating a probability. P(a)> 0 or equal to of event a. The event happens all the time p(s)= 1. For all countable family of events a1, a2, an the probability of the occurrence of union of these events is equal to the sum of the probability of the set. If a1, a2, an are n disjoint (mutually exclusive events) p(anu) = p(a1) + p(a2) + p (an)
