I have a simple question: what is the difference, if at all, between
$ P(A|X,Y) $
and
$ P(A|X\And Y) $
and what form would these two take if represented using bayes theorem? thanks
I have a simple question: what is the difference, if at all, between
$ P(A|X,Y) $
and
$ P(A|X\And Y) $
and what form would these two take if represented using bayes theorem? thanks
If $A$, $X$ and $Y$ are events then I would read them as being the same.
You have $\Pr(A|X,Y) = \dfrac{\Pr(X,Y|A)\Pr(A)}{\Pr(X,Y)}$ (assuming the denominator is positive) which you can also write many different ways, such as $\Pr(A|X,Y) = \dfrac{\Pr(X|A,Y)\Pr(Y|A)\Pr(A)}{\Pr(X|Y)\Pr(Y)}.$