Electron microscopy
 
PythonML
Joint Probability
- Python Automation and Machine Learning for ICs -
- An Online Book -
Python Automation and Machine Learning for ICs                                                           http://www.globalsino.com/ICs/        


Chapter/Index: Introduction | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | Appendix

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Joint probability refers to the probability of the occurrence of two (or more) events simultaneously. The joint probability of events A and B is denoted by P(A∩B), P(A, B) or P(A and B).

For joint probability, we have,

          P(A and B) = P(B and A) ------------------------------------ [3604a]

          P(A and B) = P(A) x P(B|A) ------------------------------------ [3604b]

          P(B and A) = P(B) x P(A|B) ------------------------------------ [3604c]

Then, we can obtain Bayes' Theorem,  

          Bayes' theorem ------------------------------------ [3604d]

 

 

 

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