Difference between revisions of "Bayes' Theorem"
Enderramsby (talk | contribs) |
Enderramsby (talk | contribs) |
||
| Line 1: | Line 1: | ||
| − | 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. | 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. | ||
~[[User:Enderramsby|enderramsby]] | ~[[User:Enderramsby|enderramsby]] | ||
Revision as of 13:40, 13 July 2022
Bayes' Theorem:
Let 
and 
be two events. Then ![\[P(E_1 | E_2) = \dfrac{P(E_2 | E_1) \cdot P(E_1)}{P(E_2)},\]](http://latex.artofproblemsolving.com/e/3/f/e3f7afda1889f6b96e61624e8b20f795d224c0d1.png)
where 
means the probability of assuming that happened.
