Assume that Pr[E]=0.65Pr[E]=0.65, Pr[F]=0.35Pr[F]=0.35, Pr[G]=0.6Pr[G]=0.6, Pr[E∩F]=0.15Pr[E∩F]=0.15, Pr[E∩G]=0.35Pr[E∩G]=0.35, Pr[F∩G]=0.25Pr[F∩G]=0.25, and Pr[E∩F∩G]=0.1;Pr[E∩F∩G]=0.1;. Find the following probabilities: (1) Pr[E′∩F′∩G]=Pr[E′∩F′∩G]= (2) Pr[E∪F∪G]=Pr[E∪F∪G]=

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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Assume that Pr[E]=0.65Pr[E]=0.65, Pr[F]=0.35Pr[F]=0.35, Pr[G]=0.6Pr[G]=0.6, Pr[E∩F]=0.15Pr[E∩F]=0.15, Pr[E∩G]=0.35Pr[E∩G]=0.35, Pr[F∩G]=0.25Pr[F∩G]=0.25, and Pr[E∩F∩G]=0.1;Pr[E∩F∩G]=0.1;. Find the following probabilities:

(1) Pr[E′∩F′∩G]=Pr[E′∩F′∩G]= 
(2) Pr[E∪F∪G]=Pr[E∪F∪G]=

 

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