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Q2 Given a probability function P and a sequence of events A₁, i = 1, 2,.... Prove that if P(A₂) = 1 for all i = 1, 2, ... then P(~ſ~\ï¼–1 Aj) = 1.

Q2 Given a probability function P and a sequence of events A₁, i = 1, 2,.... Prove that if P(A₂) = 1 for all i = 1, 2, ... then P(~ſ~\ï¼–1 Aj) = 1.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Q2 Given a probability function P and a sequence of events A₁, i = 1,2,.... Prove that if P(A₁) = 1 for all i=1,2,... then P(²1 A₂) = 1.
Transcribed Image Text:Q2 Given a probability function P and a sequence of events A₁, i = 1,2,.... Prove that if P(A₁) = 1 for all i=1,2,... then P(²1 A₂) = 1.
Expert Solution
Introduction

Probability is the likelihood of an event happening. It measure by favorable number of event divided by total number of sample size. Complement of an event is calculated by subtracting the probability of an event from 1. It is denoted as :

PA¯=1-PA

It never take negative value or the value greater than 1. 

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