. If sets An are independent and P(An) < 1 for all n, then P[A, i.o.] only if P(UnAn) = 1. = 1 if and

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 4E: Find the smallest integer in the given set. { and for some in } { and for some in }
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1. If sets An are independent and P(An) < 1 for all n, then P[A, i.o.] = 1 if and
only if P(UnAn) = 1.
%3D
Transcribed Image Text:1. If sets An are independent and P(An) < 1 for all n, then P[A, i.o.] = 1 if and only if P(UnAn) = 1. %3D
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