Let (An : n > 1) be a sequence of events in a r-algebra æ on which is defined a probability Pr. Show that for each n E N and also n Pr(V=1 Ai) = Σ Pr(Ai) i=1 Pr(Up, Ai) ≤ Σ Pr(A;). i=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Let (An : n > 1) be a sequence of events in a r-algebra & on which is defined a probability Pr. Show
that
for each n E N and also
n
Pr(U=1 Ai) ≤ Σ Pr(A;)
i=1
Pr(U, Ai) ≤ Σ Pr(Ai).
i=1
Transcribed Image Text:Let (An : n > 1) be a sequence of events in a r-algebra & on which is defined a probability Pr. Show that for each n E N and also n Pr(U=1 Ai) ≤ Σ Pr(A;) i=1 Pr(U, Ai) ≤ Σ Pr(Ai). i=1
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