Suppose that {An, n ≥ 1} are subsets of 2 with P(A₂) = 0 for all n. ShowthatP(U^)-0An\n=1=0.

Suppose that An,n≥1 are subsets of Ω with P(An)=0 for all n.P(⋃n=1∞An)=0

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Suppose that {An, n ≥ 1} are subsets of 2 with P(An) = 0 for all n. Show that PU An n=1 = 0.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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Suppose that {An, n ≥ 1} are subsets of 2 with P(A₂) = 0 for all n. Show
that
P(U^)-0
An
\n=1
=
0.

Expert Solution

Step 1: Write the given information.

Suppose that $A_{n}, n \geq 1$ are subsets of $Ω$ with $P (A_{n}) = 0$ for all n.

$P (⋃_{n = 1}^{\infty} A_{n}) = 0$

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