Section2.2-students_SP11

# Section2.2-students_ - Recap Set Theory A B Containment(subset A = B iff Equality(identical Union(combination AUB Intersection(commonality AB

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1 Section 2.1 Set Theory : Containment -( subset ) Equality identical ) Union combination ) A U B Intersection commonality ) A B Complementation negation / not in ) A c De Morgan’s Laws : • Sample spaces and events Experiments – a process whose outcome is unknown ( eg: roll a die ) Sample spaces – set of all possible outcomes of an experiment ( eg: S = {1,2,3,4,5,6}) Events – a subset of the sample space ( eg: E={2,4,6} ) Recap …. AB A = B iffAB & Today …. Axioms and Properties of Probability Axiom: A1) P( S ) = 1 A2) P( E ) 0 for every event E S A3) For mutually exclusive events, Properties: 1) P( ) = 0 2) 3) 4)

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2 What is Probability? What do we mean when we say the probability of an event is something? (Long Term Frequency) Frequentist Interpretation of Probability The probability of an event E is the long term proportion of the time that the experimental outcome is E , when the experiment is repeated many times under the identical experimental conditions : m n = # of times E occurs in n
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Section2.2-students_ - Recap Set Theory A B Containment(subset A = B iff Equality(identical Union(combination AUB Intersection(commonality AB

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