Bayes' Theorem

  • Thread starter sampahmel
  • Start date
  • #1
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Main Question or Discussion Point

Dear all,

Please clarify the following:

1.) The difference of conditional probability and Bayes' formula.

2.) Is Bayes' formula a "all weather condition" formula for all conditional probabilities problem?


Thank you,

S
 

Answers and Replies

  • #2
21
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Can anyone please answer to the above question?
 
  • #3
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1) Conditional probability is [tex] \mathbb{P}(A|B):=\frac{\mathbb{P}(A \cap B)}{\mathbb{P}(B)}[/tex].

Bayes Theorem is used to swap the condition around,
[tex] \mathbb{P}(A|B):=\frac{\mathbb{P}(B|A) \mathbb{P}(A)}{\mathbb{P}(B)}[/tex]

2) You can use Bayes formula for any conditional probabilities such that [tex]\mathbb{P}(B)>0[/tex]
 

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