Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Q1

1 Required homework
1.
(a) By induction, prove that, for any events A1,...,An,
PU
<2P(A;).
i=1
i=1
(b) Using (a), the complement rule, and De Morgan's Law, prove that, for
any events A1,..,Aŋ,
n
04) >-(n - 1)+P(4;).
P
i=1
Transcribed Image Text:1 Required homework 1. (a) By induction, prove that, for any events A1,...,An, PU <2P(A;). i=1 i=1 (b) Using (a), the complement rule, and De Morgan's Law, prove that, for any events A1,..,Aŋ, n 04) >-(n - 1)+P(4;). P i=1
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