Help me understand this example of applying Bayes' Theorem

1. Nov 3, 2013

dagnir

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?

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2. Nov 3, 2013

Staff: Mentor

The numerator is P(X,Y,Z) in both cases.

3. Nov 3, 2013

Thank you!