deletions | additions       diff --git a/Chapter 5.tex b/Chapter 5.tex  index 646cd6b..8fee6c0 100644  --- a/Chapter 5.tex  +++ b/Chapter 5.tex 
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This is independent because its students who speak spanish or french, those dont effect each other. by the general addition rule then, $prob(Spanish or French)=prob(spanish)+prob(french)-prob(both)=.70+.45-.20=0.95$\\  \\  $\textbf{Conditional Probability}$\\  Bayes theorem: \[Prob(A\rule \[Prob(A\vert  B)=\frac{Prob(A and B)}{Prob(B)}\]