I have seen in class the following formula used:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]P(A | C) = \sum_{B} P(A | B \cap C)*P(B | C)[/itex]

I don't understand how this formula works? Can anyone help me understand how it can be derived and how I can understand it intuitively? Can a venn diagram be drawn to illustrate this formula?

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# Conditional Probability on Intermediate Event

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