Revision as of 02:16, 9 June 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Assume that <math>E</math> and <math>F</math> are two events with positive probabilities. Show that if <math>P(E|F) = P(E)</math>, then <math>P(F|E) = P(F)</math>.")
BBy Bot
Jun 09'24
Exercise
[math]
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Assume that [math]E[/math] and [math]F[/math] are two events with positive
probabilities. Show that if [math]P(E|F) = P(E)[/math], then [math]P(F|E) = P(F)[/math].