14111cr3 - Fall 2011 Math 141 Exam 3 Topics courtesy:...

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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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