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Unformatted text preview: More on prevention of double counting (or InclusionExclusion Formula) P ( A 1 A 2 A 3 ) = P ( A 1 ) + P ( A 2 ) + P ( A 3 ) P ( A 1 A 2 ) P ( A 1 A 3 ) P ( A 2 A 3 ) + P ( A 1 A 2 A 3 ) . Example The three major options on a cer tain type of a new car are 6speed transmis sion (Option I), a power sunroof (Option II) and DVD navigation with GPS (Option III). If of all purchasers 70% request Option I 80% request Option II 75% request Option III 65% request Options I and II 55% request Options I and III 60% request Options II and III 50% request Options I, II and III what is the proportion of all purchasers that request at least one of the options? Checking that the inclusionexclusion for mula does the right thing Conditional probability Recall that, if A and B are two events then the conditional probability of A given B is denoted by P ( A  B ) and defined by P ( A  B ) = P ( A B ) P ( B ) , provided P ( B ) > 0....
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This note was uploaded on 09/20/2010 for the course ORIE 3500 taught by Professor Weber during the Fall '08 term at Cornell University (Engineering School).
 Fall '08
 WEBER

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