Difference between revisions of "Bayes' Theorem"

 
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==Bayes' Theorem:==
 
==Bayes' Theorem:==
  
Let <math>E_1</math> and <math>E_2</math> be two events. Then <cmath>P(E_1 | E_2) = \dfrac{P(E_2 | E_1) \cdot P(E_1)}{P(E_2)},</cmath> where <math>P(E_1 | E_2)</math> means the probability of <math>E_1</math> assuming that <math>E_2</math> happened.
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Let <math>E_1</math> and <math>E_2</math> be two events, and <math>P(E_1 | E_2)</math> the [[probability]] of <math>E_1</math> dependent on <math>E_2.</math> Then <cmath>P(E_1 | E_2) = \dfrac{P(E_2 | E_1) \cdot P(E_1)}{P(E_2)}.</cmath>
  
 
~[[User:Enderramsby|enderramsby]]
 
~[[User:Enderramsby|enderramsby]]
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[[Category:Probability]]

Latest revision as of 11:32, 2 August 2022

Bayes' Theorem:

Let $E_1$ and $E_2$ be two events, and $P(E_1 | E_2)$ the probability of $E_1$ dependent on $E_2.$ Then \[P(E_1 | E_2) = \dfrac{P(E_2 | E_1) \cdot P(E_1)}{P(E_2)}.\]

~enderramsby


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