Fall 2011 Math 141 Exam 3 Topics courtesy: Kendra Kilmer (covering Sections 7.2-7.6 and 8.1-8.4) Sections 7.2 and 7.3 • Suppose we repeat an experiment n times and an event E occurs m of those times. Then m n is called the relative frequency of the event E . • The probability of an event is a number between 0 and 1 that represents the likelihood of the event occur-ing. The larger the probability, the more likely the event is to occur. • An event which consists of exactly one outcome is called a simple event of the experiment. • The table that lists the probability of each outcome in an experiment is known as the probability distribution . • For a uniform sample space with n outcomes the probability of each outcome is 1 n . • To ﬁnd the probability of an event E , add the proba-bilities of the simple events of E . Recall P ( ∅ ) = 0 and P ( S ) = 1. • Rules of Probability • P ( E ∪ F ) = P ( E ) + P ( F )-P ( E ∩ F ) • If E and F are mutually exclusive, then P ( E ∩ F ) =0 • P ( E ) = 1-P ( E c ) Section 7.4 • If S is a uniform sample space then
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