In the probability course, under multiplication rule chapter, author said that P(A intersection B) = P(A|B) * P(B). But, in next chapter (Bayes rule), he says P( A intersection B) = P(B|A)*P(A). Why the change? Can we use them interchangeably? I don't know if I am missing something, but I appreciate any assistance. Thank you.

Hey Abhiram, The two are equivalent since AnB = BnA. P(A|B) * P(B) = P(A intersection B) = P(B intersection A) = P(B|A) * P(A) Hence, we can use them interchangeably. Best, 365 Vik

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Abhiram Challapalli

Last answered:

November 17, 2020

Posted on:

November 12, 2020

Bayes rule

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Viktor Mehandzhiyski

Posted on:

November 17, 2020

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