Dear All,(adsbygoogle = window.adsbygoogle || []).push({});

I am a starter to machine learning and i am currently confused about the following problem:

what is the result of P(X|Y)P(Y|Z)?

In my book, it is written to be P(X|Z). But I don't think it is correct since

P(X|Z)= P(X|Y,Z)P(Y|Z)

But clearly P(X|Y)=/= P(X|Y,Z)

Assuming all Events are not independent.

I have simplified the problem in the above equation. The true equation is

p(w|x,t,α,β)proportional to p(t|x,w,β)p(w|α) from pattern recognition and machine learning written by christopher m. bishop.

Any helps and ideas will be very appreciated.

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# Multiplication of conditional probability with several variables

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