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The probability that an event A will occur, when another event B is known to occur or to have occurred. It is commonly denoted by P(A|B).

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Conditioning on vs. fixing a random variable

I am confused by the following notation, seen used by a professor in a course I'm taking. $p(X|Y)$ denotes the conditioning of a distribution over a random variable $X$ by $Y$ and $p(X;y)$ denotes th …
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