Introduction to Statistics: Difference between revisions
| Line 106: | Line 106: | ||
Since <math> P(A\cap B) = P(B\cap A) </math>,<br> | Since <math> P(A\cap B) = P(B\cap A) </math>,<br> | ||
<math>\frac{P(A|B)}{P(B)} = \frac{P(B|A)}{P(A)}</math>.<br> | <math>\frac{P(A|B)}{P(B)} = \frac{P(B|A)}{P(A)}</math>.<br> | ||
A Simple rearrangement of above line gives us '''Bayes' Law'''. | A Simple rearrangement of above line gives us '''Bayes' Law'''.<br><br> | ||
For a more detailed explanation, see http://en.wikipedia.org/wiki/Bayes'_theorem | For a more detailed explanation, see http://en.wikipedia.org/wiki/Bayes'_theorem | ||