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Help me understand this example of applying Bayes' Theorem

  1. Nov 3, 2013 #1
    I'm reviewing some notes regarding probability, and the section regarding Conditional Probability gives the following example:


    The middle expression is clearly just the application of Bayes' Theorem, but I can't see how the third expression is equal to the second. Can someone please clarify how the two are equal?

    Attached Files:

  2. jcsd
  3. Nov 3, 2013 #2


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    Staff: Mentor

    The numerator is P(X,Y,Z) in both cases.
  4. Nov 3, 2013 #3
    Thank you!
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